Question

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

Answer 1

Answer:

$58.4$ sq. unit

step - by- step explanation :

The area of the triangle is given by

$A = \frac{1}{2} ac \sin(\theta)$

where

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

By substitution, we obtain

$A = \frac{1}{2} \times 9 \times 13c \sin(94)$

$= \frac{1}{2} \times 9 \times 13 \sin(94)$

$= \frac{1}{2} \times 117 \times \sin(94)$

$= 58.4$ sq. unit

to the nearest tenth