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If X = 6 cm and Z = 10 cm, what is the length of Y?

A. 8 cm
B. 8 cm
C. 10 cm
D. 6 cm

1 Answer

11 votes

Answer:

If XYZ is a triangle, then Y = 8 cm

Explanation:

X^2 + Y^2 = Z^2, by the Pythagorean Theorem.

Z, in this equation, represents the hypotenuse; the hypotenuse must be the longest side, and we can therefore eliminate C, 10 cm, without even beginning. Then, we may plug the given values in.

(6)^2 + Y^2 = 10^2

36 + Y^2 = 100

Y^2 = (100 - 36) = 64

Y = 8 cm

I hope this helped! :)

User Tamewhale
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