Question

Sides of triangle are 11m, 15m, 6m. It's Semi Perimeter is 16m .
Find the area of triangle using heron's formula

plz answer.
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Answer 1

Answer:

Refer the above attachment

Answer 2

Answer:

using herons formula

a = 11 m

b = 15 m

c = 6 m

s = 16

area of triangle =

$\frac{1}{2} \sqrt{ s(s - a)(s - b)(s - c)}$

$= \frac{1}{2} \sqrt{ 16(16 - 11)(16 - 15)(16 - 6)}$

$= \frac{1}{2} \sqrt{ 16 \times 5 \times1 \times 10}$

$= \frac{1}{2} \sqrt{2 \times 2 \times 2 \times 2 \times 5 \times 1 \times 2 \times 5 }$

$= \frac{1}{2} \times 20 \sqrt{2}$

$= 10 \sqrt{2} m {}^{2}$

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