Area of a Triangle in Trigonometry

A triangle has a base of 10 cm and an included angle of 40°. If the other side is 8 cm, find the perpendicular height of the triangle using trigonometry.

• 5.14 cm

• 6.43 cm

• 4.29 cm

• 7.68 cm

A triangle has a base of 12 cm and an included angle of 50° with the other side measuring 9 cm. Calculate its perpendicular height.

• 6.9 cm

• 7.2 cm

• 8.1 cm

• 9.3 cm

In a triangle, one side is 15 cm, and the included angle is 35°. The base is 18 cm. Determine the perpendicular height.

• 8.6 cm

• 9.2 cm

• 10.3 cm

• 11.5 cm

Find the perpendicular height of a triangle where the base is 20 cm, one side is 16 cm, and the included angle is 45°.

• 10.2 cm

• 11.3 cm

• 12.6 cm

• 14.1 cm

A triangle has a base of 25 cm and an included angle of 30° with the other side measuring 14 cm. Compute the perpendicular height.

• 7 cm

• 14 cm

• 12.5 cm

• 10 cm

A triangle has two sides measuring 10 cm and 12 cm, with an included angle of 60°. Find the area using trigonometry.

• 30√3 cm²

• 60 cm²

• 30 cm²

• 60√3 cm²

A triangle has a base of 18 cm and another side of 14 cm, with an included angle of 45°. Determine its area.

• 63 cm²

• 89 cm²

• 99 cm²

• 178 cm²

In a triangle, two sides measure 22 cm and 30 cm, and the included angle is 75°. Calculate its area.

• 85.4 cm²

• 170.8 cm²

• 318.8 cm²

• 637.5 cm²

Find the area of a triangle with a base of 16 cm, another side of 20 cm, and an included angle of 50°.

• 120 cm²

• 122.6 cm²

• 123.2 cm²

• 245.1 cm²

A triangular field has two adjacent sides measuring 40 m and 55 m, forming an angle of 35°. Find the area of the field.

• 450.5 m²

• 630.9 m²

• 901.1 m²

• 1,261.9 m²