the sides of a triangle are 4, 8 and 10. If the longest side of a similar triangle measures 30, find the shortest side.

Answers

Answer 1

The length of the shortest side of a similar triangle is 12 cm. This can be calculated through corresponding parts of similar triangles or known as CPST.

Similar Triangles have the following features:

They have equal angles.

The ratio of corresponding sides is equal

Dimensions of the original triangle are 4 * 8 * 10

Therefore, the ratio of the longest side of both triangles is = 10 : 30

= 1 : 3

The ratio of the shortest side also equals 1 : 3

Shortest side in the original triangle = 4 cm

Let the shortest side of the similar triangle be x

Therefore, the ratio of shortest sides = ratio of longest sides

4 : x = 1 : 3

[tex]\frac{4}{x} =\frac{1}{3}\\ x=4*3[/tex]

x = 12cm

Thus, the length of the shortest side is 12 cm

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