if sides of triangle are 25,39,56 then find area of triangle
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Solve by Heron’s formula because all three sides of a triangle are given.
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Answer:
Given: Sides of triangle = 25,39& 56
To find: area of triangle
Solution:
Let a = 25
b = 39
c = 56
∴ Semi - perimeter (s) = a+b+c/2
= 25+39+56/2
= 120/2
s = 60
Now, by using Heron's Formula,
=√s(s - a)(s - b)(s - c)
= √60(60-25) (60-39) (60-56)
= √ 60 × 35 ×21 ×4
= √ 3 ×2 ×2 ×5 ×7 ×5 ×3 ×7 ×2 ×2
= 2 ×2 ×7 ×5 ×3
= 420 ans...
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