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13=b 5=c what is the length of the missing leg

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Answer:

The length of the missing leg is 12

Explanation:

Right Triangles

A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.

Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:


a^2+c^2=b^2

We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:


a^2=b^2-c^2

Substituting:


a^2=13^2-5^2


a^2=169-25=144

Solving:


a=√(144)=12

The length of the missing leg is 12

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