Question

The perimeters of two similar triangles are 22 cm and 33 cm respectively. If one side of first triangle is 9 cm, then find the length of corresponding side of the second triangle.

Approach

Since triangles are similar, the ratio of corresponding sides equals the ratio of perimeters. $\frac{9}{x} = \frac{22}{33} = \frac{2}{3}$ . Solving: $x = \frac{9 \times 33}{22} = 13.5$ cm.

Step-by-step working

1
$\frac{9}{x} = \frac{22}{33}$
1 mark
2
$x = 13.5$ cm
1 mark

Concepts used

similar trianglesperimeter ratiocorresponding sides

Approach

Step-by-step working

Concepts used

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