Question 5

Triangle PQR is such that PQ = 9cm, QR = 6cm, PR = 7.5cm and triangle PQR is similar to triangle XYL. If XY= l8cm, Find the value of YZ

Solution

Since the triangles are similar

taking the ratio of corresponding sides of these triangles

$$\frac{PQ}{XY}=\frac{QR}{YZ}$$

$$\frac{9}{18}=\frac{6}{YZ}$$

YZ=12cm

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