In△PQRthe midpoints ofPQandPRareOandS respectively. If the area of OQRSis 54cm2 , find the area of △PQR .Please give 1 answer.54 cm2 36 cm2 48 cm2 72 cm2
Question
In△PQRthe midpoints ofPQandPRareOandS respectively. If the area of OQRSis 54cm2 , find the area of △PQR .Please give 1 answer.54 cm2 36 cm2 48 cm2 72 cm2
Solution
In a triangle, the area of a parallelogram formed by the midpoints of the sides is half the area of the original triangle.
Given that the area of parallelogram OQRS is 54 cm², the area of triangle PQR would be twice that, which is 108 cm².
However, this option is not given in the choices. There might be a mistake in the question or the options provided.
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