Subject
Quantitative Aptitude
Topic
Areas & Volumes
The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. Find the area of the triangle.
The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. Find the area of the triangle.
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72Explanation
Let ABC be the isosceles triangle and AD be the altitude Let AB = AC = x. Then, BC = (32 - 2x). Since, in an isosceles triangle, the altitude bisects the base, so BD = DC = (16 - x). In triangle ADC , BC = (32- 2x) = (32 - 20) cm = 12 cm. Hence, required area =Related questions
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