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The lengths of the sides of a triangle are 5,6, and 7. If the perimeter of a similar triangle is 36, what is the length of the shortest side of the similar friangle? A) 5 B) 10 C) 4 D) 6

Respuesta :

The length of the sides of a triangle are 5, 6 and 7.

If the perimeter of a similar triangle is 36

Perimeter of a triangle = a + b+ c

The perimeter of the first triangle is

P = 5 + 6 + 7

P = 11 + 7

P = 18

To find the smallest lengths

18 / 36 = 5 / x

Introduce cross multiplication

36 x 5 = 18 * x

180 = 18x

Divide both sides by 18

180/18 = 18x/18

x = 180/18

x = 10

The answer is 10

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