Question

the side of an triangle Is 8cm 15cm 17cm find area
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Answer 1

→Area of triangle with sides 8cm 17cm 15cm will be 60

Answer 2

Question

The side of an triangle is 8cm , 15cm and 17cm. Find the area

Given

• Three sides of triangle are :
• A = 8cm
• B = 15cm
• C = 17cm

Required to Find

Area of the triangle

Solution

Area of triangle

$\sf a = {60cm}^{2}$

Let the three sides of triangle are

A = 8cm

B = 15cm

C = 17cm

We know that

$\sf \: s = \frac{a + b + c}{2}$

Now , substitute a, B and C values, we get

$\sf \: s = \frac{8 + 15 + 17}{2}$

$\sf \implies \: s = \frac{40}{2}$

$\sf \implies \: s = 20$

s - a = 20 - 8 = 12

s - b = 20 - 15 = 5

s - c = 20 - 17 = 3

We knew,

Area of triangle (A)

$\sf \: A = \sqrt{s(s - a)(s - b)(s - c)}$

$\implies \sf \: A = \sqrt{20 \times 12 \times 5 \times 3}$

$\implies \sf \: A = \sqrt{3600}$

$\implies \sf \: \: A= {60}^{2}$

$\sf \implies \: A = {60cm}^{2}$

Therefore,

Area of triangle

$\sf A = {60cm}^{2}$