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Vsevolod [243]
3 years ago
11

ABC is similar to DEF. Find x.

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0
<h3>Answer:  25</h3>

Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.

The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5

Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.

We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.

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The diagram for the question is attached below

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