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.

URGENT Triangle ABC shown below has mB94 a9 and c13 Find the area of the triangle Round your answer to the nearest tenth and do not include units in your answer class=

Respuesta :

Answer:

[tex]58.4[/tex] sq. unit

step - by- step explanation :

The area of the triangle is given by

[tex] A = \frac{1}{2} ac \sin(\theta)[/tex]

where

[tex] a = 9 \\ c = 13 \\ \theta = 94\degree[/tex]

By substitution, we obtain

[tex] A = \frac{1}{2} \times 9 \times 13c \sin(94)[/tex]

[tex] = \frac{1}{2} \times 9 \times 13 \sin(94)[/tex]

[tex] = \frac{1}{2} \times 117 \times \sin(94) [/tex]

[tex] = 58.4[/tex] sq. unit

to the nearest tenth