Maths4U Original · Short practice

A right triangle has perpendicular sides 6 cm and 8 cm. A separate rectangle has those same side lengths.

Find the triangle hypotenuse in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has perpendicular sides 9 cm and 12 cm. A separate rectangle has those same side lengths.

Find the triangle hypotenuse in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has perpendicular sides 9 cm and 12 cm. A separate rectangle has those same side lengths.

Find the rectangle diagonal in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has perpendicular sides 12 cm and 16 cm. A separate rectangle has those same side lengths.

Find the rectangle diagonal in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has perpendicular sides 12 cm and 16 cm. A separate rectangle has those same side lengths.

Find the right triangle perimeter in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has perpendicular sides 15 cm and 20 cm. A separate rectangle has those same side lengths.

Find the right triangle perimeter in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has perpendicular sides 15 cm and 20 cm. A separate rectangle has those same side lengths.

A different right triangle has hypotenuse 65 cm and one leg 25 cm. Find its other leg in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has perpendicular sides 18 cm and 24 cm. A separate rectangle has those same side lengths.

A different right triangle has hypotenuse 78 cm and one leg 30 cm. Find its other leg in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 8 cm and acute angle \(\displaystyle \theta =55\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

Find the opposite length in cm, to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 9 cm and acute angle \(\displaystyle \theta =56\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

Find the opposite length in cm, to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 9 cm and acute angle \(\displaystyle \theta =56\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

Find the adjacent length in cm, to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 10 cm and acute angle \(\displaystyle \theta =57\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

Find the adjacent length in cm, to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 10 cm and acute angle \(\displaystyle \theta =57\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

Find the triangle area in \(\displaystyle \mathrm{cm}^{2}\), to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 11 cm and acute angle \(\displaystyle \theta =58\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

Find the triangle area in \(\displaystyle \mathrm{cm}^{2}\), to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 11 cm and acute angle \(\displaystyle \theta =58\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

In a different right triangle, \(\displaystyle \sin \phi =\)\(\displaystyle \frac{4}{11}\) for acute φ. Find φ in degrees, to 1 decimal place.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right triangle has hypotenuse 12 cm and acute angle \(\displaystyle \theta =59\)°. “Opposite” and “adjacent” refer to θ; the adjacent side is not the hypotenuse.

In a different right triangle, \(\displaystyle \sin \phi =\)\(\displaystyle \frac{5}{12}\) for acute φ. Find φ in degrees, to 1 decimal place.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 18 cm and 24 cm and vertical height 6 cm. Consider the line from one base corner to the opposite top corner.

Find the base diagonal in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 3 cm and 4 cm and vertical height 7 cm. Consider the line from one base corner to the opposite top corner.

Find the base diagonal in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 3 cm and 4 cm and vertical height 7 cm. Consider the line from one base corner to the opposite top corner.

Find the space diagonal in cm, to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 6 cm and 8 cm and vertical height 8 cm. Consider the line from one base corner to the opposite top corner.

Find the space diagonal in cm, to 3 significant figures.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 6 cm and 8 cm and vertical height 8 cm. Consider the line from one base corner to the opposite top corner.

Find the angle between the space diagonal and the base plane in degrees, to 1 decimal place.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 9 cm and 12 cm and vertical height 9 cm. Consider the line from one base corner to the opposite top corner.

Find the angle between the space diagonal and the base plane in degrees, to 1 decimal place.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 9 cm and 12 cm and vertical height 9 cm. Consider the line from one base corner to the opposite top corner.

Find the angle between the space diagonal and a vertical line in degrees, to 1 decimal place.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A rectangular box has horizontal base dimensions 12 cm and 16 cm and vertical height 10 cm. Consider the line from one base corner to the opposite top corner.

Find the angle between the space diagonal and a vertical line in degrees, to 1 decimal place.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.