Question

The base of isosceles triangle is 10cm and one of its equal side is 13 cm. Find its area:
(a) without using herons formula
(b) using herons formula​

Answer 1

Answer:

1)

2) Base of the isosceles triangle is 10 cm

One of its equal side is 13 cm, so the third side is also 13 cm

Now, the three sides are a=10,b=13,c=13

According to Hero's formula,

Area of a triangle, A=

s(s−a)(s−b)(s−c)

where,

s=

2

a+b+c

s=

2

10+13+13

=18

Now,

A=

18(18−10)(18−13)(18−13)

=

18(8)(5)(5)

=

9(16)(5)(5)

=3×4×5

=60cm

2

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