find area of triangle in which , a = 13m , b = 14 m , c = 15 m .
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Given :-
- A = 13 m
- B = 14 m
- C = 15 m
To find :-
- Area of triangle
Solution :-
- Semi perimeter = a + b + c/2
➻ S = 13+ 14 +15/2
➻ S = 42/2 = 21
➻ S = 21 (semi perimeter)
★ Using Heron's formula
- Area of triangle = √S(s-a)(s-b)(s-c)
Now solving,
➥ √21 (21 - 13) (21 - 14) (21 - 15)
➥ √21 × 8 × 7 × 6
➥ √3 × 7 × 2 × 2 × 2 × 7 × 2 × 3
➥ 84 ★
Hence, the area of the triangle is 84 m.
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