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.

Answer 1

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.