Question

Find the area of a triangles, two sides of each are 8 cm and 11 cm and their perimeter is

32 cm.​

Answer 1

Answer:

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Find the area of a triangles, two sides of each are 8 cm and 11 cm and their perimeter is 32 cm.

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Let a,b,c be the sides of the given triangle and 2s be its perimeter such that

a=8 cm, b=11 cm and 2s=32 cm

Now, a+b+c=2s

8+11+c=32

c=13

Therefore,

s−a=16−8=8,s−b=16−11=5,s−c=16−13=3

Hence, area of given triangle = s(s−a)(s−b)(s−c)= 16×8×5×3 =830cm²

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