Arithmetic Ability
Area

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Q.

The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?

View Answer

Correct choice: B

Explanation:

let ABC be the isosceles triangle, the AD be the altitude Let AB = AC = x then BC= 32-2x [because parameter = 2 (side) + Base] since in an isoceles triange the altitude bisects the base so BD = DC = 16-x In a triangle ADC, (AC)2=(AD)2+(DC)2 x2=82+(16−x)2 ⇒x=10 BC = 32-2x = 32-20 = 12 cm Hence, required area = 12*BC*AD = 12*12*10 = 60 sq cm
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