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Find the area of a triangle when A=22 B=105 and B=14

Find the area of a triangle when A=22 B=105 and B=14-example-1
User Mrek
by
5.0k points

2 Answers

0 votes

Answer:

30.4

Explanation:

Correct on edg2020

User Leyu
by
5.2k points
7 votes

Answer:

a.30.4 units²

Explanation:

Using the triangle attached, we can find the angle at C which is 180-(22+105)=53°

Then we use the sine rule to find the value of side c.

14/sin105=c/sin53

c=(14/sin105)× sin53

c=11.575

We can now use the sine formula to find the area of the triangle. A=(1/2)absin∅

A= (1/2)×14×11.575sin22

A=30.4

User Nick Josevski
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6.3k points