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Question

An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm, then the area of the triangle is _____cm2


A

48

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B

38

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C

44

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D

45

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Solution

The correct option is A

48




Let the length of the unequal side be x cm.

Then

10+10+x=36

x=3620=16

We know the altitude bisects the base in an isosceles

height AD(h)=6 cm (6,8,10 - Pythagorean Triplet)

Area of =12×base×height=12×16×6

=48 cm2


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