Find the solutions of the following questions: PB and QA are perpendicular at points B and A of line segment AB. If P and Q lie on opposite sides of AB and on joining P and Q it intersects AB at O and PO = 5 cm, QO = 7 cm, area of ΔPOB = 150 cm 2 then find the area of ΔQOA.

Find the solutions of the following questions:
PB and QA are perpendicular at points B and A of line segment AB. If P and Q lie on opposite sides of AB and on joining P and Q it intersects AB at O and PO = 5 cm, QO = 7 cm, area of ΔPOB = 150 cm² then find the area of ΔQOA.

In ΔPOB & ΔQOA

∠PBO = ∠QAO = 90°

∠POB = ∠QOA |vertically opposite angles

ΔPBO~ΔQOA by AA Similarity Rule

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