Maths4U Original · Short practice

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=34\)°, \(\displaystyle a=11 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{66}{5}\) cm. Two triangles satisfy these data.

Find the smaller possible B 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

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=35\)°, \(\displaystyle a=12 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{72}{5}\) cm. Two triangles satisfy these data.

Find the smaller possible B 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

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=35\)°, \(\displaystyle a=12 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{72}{5}\) cm. Two triangles satisfy these data.

Find the larger possible B 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

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=36\)°, \(\displaystyle a=13 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{78}{5}\) cm. Two triangles satisfy these data.

Find the larger possible B 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

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=36\)°, \(\displaystyle a=13 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{78}{5}\) cm. Two triangles satisfy these data.

For the triangle with smaller B, find C 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

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=25\)°, \(\displaystyle a=8 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{48}{5}\) cm. Two triangles satisfy these data.

For the triangle with smaller B, find C 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

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=25\)°, \(\displaystyle a=8 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{48}{5}\) cm. Two triangles satisfy these data.

For the triangle with larger B, find C 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

In triangle ABC, side a is opposite A and side b is opposite B. Angle \(\displaystyle A=26\)°, \(\displaystyle a=9 \mathrm{cm}\) and \(\displaystyle b=\)\(\displaystyle \frac{54}{5}\) cm. Two triangles satisfy these data.

For the triangle with larger B, find C 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

Triangle ABC has adjacent sides \(\displaystyle AC=11 \mathrm{cm}\) and \(\displaystyle BC=11 \mathrm{cm}\) with included angle ACB=111°.

Find AB 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

Triangle ABC has adjacent sides \(\displaystyle AC=12 \mathrm{cm}\) and \(\displaystyle BC=12 \mathrm{cm}\) with included angle ACB=112°.

Find AB 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

Triangle ABC has adjacent sides \(\displaystyle AC=12 \mathrm{cm}\) and \(\displaystyle BC=12 \mathrm{cm}\) with included angle ACB=112°.

Find the 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

Triangle ABC has adjacent sides \(\displaystyle AC=5 \mathrm{cm}\) and \(\displaystyle BC=13 \mathrm{cm}\) with included angle ACB=113°.

Find the 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

Triangle ABC has adjacent sides \(\displaystyle AC=5 \mathrm{cm}\) and \(\displaystyle BC=13 \mathrm{cm}\) with included angle ACB=113°.

Find the perimeter 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

Triangle ABC has adjacent sides \(\displaystyle AC=6 \mathrm{cm}\) and \(\displaystyle BC=7 \mathrm{cm}\) with included angle ACB=114°.

Find the perimeter 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

Triangle ABC has adjacent sides \(\displaystyle AC=6 \mathrm{cm}\) and \(\displaystyle BC=7 \mathrm{cm}\) with included angle ACB=114°.

Find the perpendicular height from A to line BC 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

Triangle ABC has adjacent sides \(\displaystyle AC=7 \mathrm{cm}\) and \(\displaystyle BC=8 \mathrm{cm}\) with included angle ACB=115°.

Find the perpendicular height from A to line BC 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.