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Question

# An isosceles triangle has its base of 20 cm and each of its equal sides is 26 cm long. Calculate its area

A
250
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B
240
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C
156
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D
none of the above
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Solution

## The correct option is B 240Consider an Isosceles triangle ABC, with AB=AC=26 cm., BC=20 cmDraw a perpendicular AD on non- congruent side BC.In an Isosceles triangle a perpendicular bisects the non congruent side. Hence, BD=12BC=12(20)=10 cmIn △ABD,⇒AB2=AD2+BD2⇒262=AD2+102⇒676=AD2+100⇒AD2=576⇒AD=24 cmArea of triangle = 12AD×BC= 12(24×20)= 240 cm2

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