70th B.P.S.C. Pre-2024

How many triangles are there in the following figure PQRS? A rectangle PQRS with diagonals PR and QS intersecting, and a horizontal line segment connecting the midpoints of sides PS and QR

a16
b10
c18
d12✓ Correct

Explanation

Triangle made of one figures = 6 Triangle made of two figures = 3 Triangle made of three figures = 2 Triangle made of four figures = 1 So, total number of triangles = (6 + 3 + 2 + 1) = 12

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