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mamaluj [8]
2 years ago
6

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

Mathematics
1 answer:
Papessa [141]2 years ago
5 0

Answer:

C=78.28^{\circ \:}

Step-by-step 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)=\frac{a^2+b^2-c^2}{2ab}

now, we can plug values

cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}

cos(C)=\frac{13}{64}

now, we can find angle

we get

C=78.28^{\circ \:}

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