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.

Question

asked Feb 4, 2020 78.1k views

1 Answer

Jaruesink · Answer 1 · 2020-02-10T14:07:56+0000

Answer:

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