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Question
Given is a triangle with sides 3 cm, 5 cm and 6 cm. Find the sides of a triangle which is similar to the given triangle and its shortest side is 4.5 cm.
Solution
Since the two triangles are similar,
so the ratio of the corresponding sides are equal.
Let x and y be the sides of the triangle,
where y is the longest side.
`(3)/(5) = (4.5)/x` ⇒ x = 7.5cm
`(5)/(6) = (7.5)/y` ⇒ y = 9cm
So, the sides of the triangles are 4.5cm, 7.5cm and 9cm.
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