Question

Find the area of triangle 10cm , 10cm , 8cm​

Answer 1

Solution

Given :-

• Length of side of triangle , 10 cm , 10 cm , 8 cm

Find :-

• Area of triangle

Explanation

Let,

A triangle be ∆ABC .

Where,

• AB = 10 cm
• BC = 10cm
• CA = 8 cm

Using Formula

★ Semi perimeter ( S) = (AB + BC + CA)/2

★ Area = √[S(S-AB)(S-BC)(S-CA)]

First Calculate, Semi perimeter.

==> S = (10 + 10 + 8)/2

==> S = 28/2

==> S = 14 cm

Now, calculate area,

==> Area = √[S(S-AB)(S-BC)(S-CA)]

Keep all above Values,

==> Area = √[14 (14 - 10)(14 - 10)(14 - 8)]

==> Area = √[ 14 × 4 × 4 × 6]

==> Aea = √( 2 × 2 × 2 × 2 × 2 × 2 × 7 × 3)

==> Area = (2×2×2)√21

==> Area = 8√21 cm²

Hence

• Area will be of given triangle ∆ABC = 8√21 cm²

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