Question

Triangle ABC is similar to triangle DEF. Find the measure of side DE. Round your
answer to the nearest tenth if necessary.
8
B
F
31
E
Ď
13-7
D

Answer 1

Answer:

53.1

Step-by-step explanation:

They're equal, so 8 = 31 and 13.7 = x

8/31 = 13.7/x

31(13.7) / 8 = 53.0875

Round your answer to nearest tenth to get 53.1

Answer 2

The rounded length of DE is 53.1.

What is similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary.

What is the measure of DE?

The both the triangles are similar, so the side length CB will be equal to FE and the side length AB will be equal to DE. Hence, the equation formed will be,

$\frac{8}{31}=\frac{13.7}{DE}$

On solving this equation, we have DE=53.0875.

Therefore, the rounded length of DE is 53.1.

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