Question

Triangle P Q R is shown. The length of P Q is 20 and the length of P R is 12. Angle Q P R is 68 degrees and angle P Q R is 36 degrees. Trigonometric area formula: Area = One-half a b sine (C) What is the area of triangle PQR? Round to the nearest tenth of a square unit. 70.5 square units 111.3 square units 185.4 square units 222.5 square units

Answer 1

111.3

Explanation:

Answer 2

`111.3\ \text{square units}`

Explanation:

`PQ=20\ \text{units}`

`PR=12\ \text{units}`

`\angle QPR=68^(\circ)`

`\angle PQR=36^(\circ)`

Area of the triangle is given by

`A=(1)/(2)* PQ* PR*\sin \angle QPR\\\Rightarrow A=(1)/(2)* 20* 12* \sin68^(\circ)\\\Rightarrow A=111.26\approx 111.3\ \text{square units}`

The area of the triangle is
`111.3\ \text{square units}`.