Question

Find the Area of an isosceles triangle whose equal sides are 5cm and third side 8cm. (by Heron's Formula)

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Answer 1

Answer:

Step-by-step explanation:

AnswEr:-

Area of isosceles triangle = 12 cm²

Given :-

Equal sides = 5 cm each

Inequal side = 8 cm

To find :-

Area of isosceles triangle = ?[Using Heron's formula]

As we know,Heron's formula:-

Here,a = one equal side,b = another equal side & c = inequal side.

And,s = Semi-perimeter of triangle.

Now,

↠ Semi-perimeter = Perimeter/2

↠ Semi-perimeter = (8 + 5 + 5)/2

↠ Semi-perimeter = 18/2

↠ Semi-perimeter = 9 cm

According to question:-

Answer 2

S=a+b+c/2

S=5+5+8/2

S=9

A=√s*(s-a)(s-b)(s-c)

A=√9(9-5)(9-5)(9-8)

A=√9(4)(4)(1)

A=√144

A=12 cm is the answer

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