A Right Triangle (ABC) has sides measuring 3 inches and 4 inches. The hypotenuse is 5 inches. A similar right triangle (A'B'C') is created with sides of 7.5 and 10. What is the length of the hypotenuse? (Show all work)

Question

Allison Deleon

Mathematics

28 June, 12:10

A Right Triangle (ABC) has sides measuring 3 inches and 4 inches. The hypotenuse is 5 inches. A similar right triangle (A'B'C') is created with sides of 7.5 and 10. What is the length of the hypotenuse? (Show all work)

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Answers (2)

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Landen Farmer · Answer 1

12.5 in.

Step-by-step explanation:

You could use the pythagorean theorem, or you can use scale factor. The scale factor between side A and A' is 7.5/3=2.5, which is your scale factor. Multiplying 2.5 by your original hypotenuse gives you 12.5

Draven Mays · Answer 2

The length of hypotenuse is 12.5

Step-by-step explanation:

First 7.5 x 7.5 = 56.25

Then 10 x 10 = 100

Add them together 56.25 + 100 = 156.25

Then square root 156.25 and you get 12.5