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
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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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