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Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.135P

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below-example-1

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Let's recall the Pythagorean Theorem:


a^2+b^2=c^2\text{ }\Rightarrow\text{ c = }√(a^2+b^2)

Where, a and b are the legs and c is the hypotenuse.

In our exercise, we know the value of the hypotenuse and one of the legs, then we calculate the length of the second leg, this way:


b\text{ = }\sqrt{13^2\text{ - }5^2\text{ }}\text{ }\Rightarrow\text{ b = }√(144)

b = 12 units

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