Question

URGENT!!! Triangle ABC shown below has m∠B=94∘, a=9, and c=13. Find the area of the triangle.

Round your answer to the nearest tenth and do not include units in your answer.

Answer 1

`58.4` sq. unit

step - by- step explanation :

The area of the triangle is given by

`A = (1)/(2) ac \sin(\theta)`

where

`a = 9 \\ c = 13 \\ \theta = 94\degree`

By substitution, we obtain

`A = (1)/(2) * 9 * 13c \sin(94)`

`= (1)/(2) * 9 * 13 \sin(94)`

`= (1)/(2) * 117 * \sin(94)`

`= 58.4` sq. unit

to the nearest tenth