Question

The sides of a triangle are 7 inches, 8 inches, and 9 inches. If the shortest side of a similar triangle is 21 inches, find its longest side.

Answer 1

For you to find the length of the longest side, you would need to cross multiply and find x. So the longest side would equal to 27 inches.

Answer 2

The longest side of the triangle is 27 inches.

What is a similar triangle?

'Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.'

According to the given problem,

The given sides of the first triangle is 7 inches, 9 inches, 8 inches.

Now, for the similar triangle,

Given shortest side = 21

Since, the similar triangles have sides with a ratio of 1:3, the length of the longest side would be,

⇒ ( 9 × 3 ) inches

⇒ 27 inches

Hence, we can conclude, the length of the longest side would be 27 inches.

Learn more about similar triangles here: https://brainly.com/question/14926756

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