In Fig,AB II QR . Find the length of PB – InterviewSolution

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1.

In Fig,AB II QR . Find the length of PB

Answer»

We have ΔPAB and ΔPQR

∠P = ∠P(common)

∠PAB = ∠PQR (Corresponding angles)

Then, ΔPAB ~ ΔPQR (BY AA similarity)

So, \(\frac{PB}{PR}\) =\(\frac{AB}{QR}\) (Corresponding parts of similar triangle area proportion)

Or , \(\frac{PB}6\) = \(\frac{3}9\)

Or PB = \(\frac{3}9\) x 6

Or PB= 2 cm

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