Question

A triangle has sides 13 m, 14 m and 15 m. Find its area by using Heron’s formula
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Answer 1

Answer:

the answr is 84 meter square

Answer 2

Given:-

• First Side = 13m

• Second Side = 14m

• Third Side = 15m

To Find:-

• Area of ∆ By using Herone's formulae.

Formulae used :-

• Area of ∆ = $\sf{\sqrt{( s) ( s - a ) ( s - b ) ( s - c )}}$

Now,

→ Perimeter = a + b + c

→ Perimeter = 13 + 14 + 15

→ Perimeter = 42m

→ s = $\sf{\dfrac{Perimeter}{2}}$

→ s = $\sf{\dfrac{42}{2}}$

→ s = 21m.

Therefore,

→ Area of ∆ = $\sf{\sqrt{( s) ( s - a ) ( s - b ) ( s - c )}}$

→ $\sf{\sqrt{( 21 ) ( 21 - 13 ) ( 21 - 14 ) ( 21 - 15 )}}$

→ $\sf{ \sqrt{(21) (8) (7) (6)}}$

→ $\sf{\sqrt{21\times{8}\times{7}\times{6}}}$

→ $\sf{\sqrt{7056}}$

→ $\sf{ 84 }$

Hence, The Area of ∆ is 84m.