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Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.

User Jesse Q
by
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1 Answer

3 votes

Answer:


C=78.28^(\circ \:)

Explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula


cos(C)=(a^2+b^2-c^2)/(2ab)

now, we can plug values


cos(C)=(12^2+8^2-13^2)/(2* 12* 8)


cos(C)=(13)/(64)

now, we can find angle

we get


C=78.28^(\circ \:)

User H B
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5.9k points