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One leg of a right triangle is twice the length of the
other leg. The length of the hypotenuse is the square root of 125
centimeters. Let x represent the length of the
shorter leg. Use the Pythagorean Theorem to write
and solve an equation to find the length of the legs.

Respuesta :

Answer:

The legs are 5cm and 10cm

Step-by-step explanation:

[tex](\sqrt125)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](2x)^{2}[/tex]

125 = [tex]5x^{2}[/tex]

25 = [tex]x^{2}[/tex]

x = 5 shorter side

2x=10 longer side

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