Question

Find the area of each triangle to the nearest tenth.

Answer 1

(6) 39.0 square inches, (8) 16.3 square centimeters

Explanation:

Part (6): The area is given by:

`A=(1)/(2)* RS* RT*\sin(m\angle{SRT})\\A=(1)/(2)* 7* 11.4*\sin(78^(\circ))\\A=39.0~in^(2)`

Part (8): The area is given by:

`A=(1)/(2)* EF* ED* \sin(m\angle{FED})\\A=(1)/(2)* 10* 6* \sin(33^(\circ))\\A=16.3~cm^(2)`