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:
[tex]a^2+c^2=b^2[/tex]
We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:
[tex]a^2=b^2-c^2[/tex]
Substituting:
[tex]a^2=13^2-5^2[/tex]
[tex]a^2=169-25=144[/tex]
Solving:
[tex]a=\sqrt{144}=12[/tex]
The length of the missing leg is 12
