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.

ediculeN

ediculeN

Answered question

2021-01-31

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.

Answer & Explanation

Raheem Donnelly

Raheem Donnelly

Skilled2021-02-01Added 75 answers

Using the smaller triangle, we find its hypotenuse, hh, usingh Pythagorean Theorem:
h2=32+42
h2=9+16
h2=25
h=25
h=5
Let x be the hypotenuse of the larger triangle. Using the scale factor, we can write the propotion:
13=hx
13=5x
x=3(5)
x=15
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

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