Two right triangles are similar. The legs of the smaller triangle have lengths of 3 and 4. The scale factor is 1:3. Find the length of the hypotenuse of the larger triangle. The length of the hypotenuse of the larger triangle is

Question

Mathematics

Luciano Powers

9 May, 22:50

Two right triangles are similar. The legs of the smaller triangle have lengths of 3 and 4. The scale factor is 1:3. Find the length of the hypotenuse of the larger triangle. The length of the hypotenuse of the larger triangle is

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Answers (1)

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Philip Arellano · Answer 1

15 units.

Step-by-step explanation:

The hypotenuse of the smaller triangle = sqrt (3^2 + 4^2)

= sqrt 25 = 5.

As the scale factor is 1:3 the hypotenuse of the larger triangle = 5 * 3

= 15.