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PQRS is a quadrilateral with SQ as one of its diagonals.if SR=PQ=4cm, SQ=5 cm and SQ is perpendicular to both SR and PQ, then show that ar(triangle PSQ)=

ar(triangle SRQ).



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Compare triangles PSQ and  QRS.

SR = PQ ,    SQ  is a common side.    the angle between SR and SQ in triangle SRQ is 90 = the angle between PQ and SQ which is 90.

two sides and the angle between them are equal in both triangles.

so the triangles are congruent.

hence their areas are equal.

the area =  1/2 * 4 cm * 5 cm = 10 cm^2

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