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ABC is an isosceles triangle in which AB = AC = 10 cm. BC =12 cm. PQRS is a rectangle inside the isosceles triangle. Given PQ = SR = y cm,PS = QR =2x.

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ABC is an isosceles triangle in which AB = AC = 10 cm. BC =12 cm. PQRS is a rectangle inside the isosceles triangle. Given PQ = SR = y cm,PS = QR =2x. prove that X = 6 - 3y / 4.

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Construction : Draw AL ⊥ BC.

or,   AL is median of BC   (Isosceles triangle)

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