Question

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

Answer 1

Answer:

The length of the missing leg is 12

Step-by-step 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:

$a=\sqrt{144}=12$

The length of the missing leg is 12