Respuesta :

Right Triangles

A right triangle is recognized because it has an interior angle of 90°.

In right triangles, the Pythagora's Theorem is satisfied.

Being a and b the shorter sides (also called legs) of the triangle, and c the longer side (called hypotenuse), then:

[tex]c^2=a^2+b^2[/tex]

The triangle shown in the image has the two legs of values a=15 and b=8. The hypotenuse is c=x, thus:

[tex]x^2=15^2+8^2[/tex]

Operating:

[tex]x^2=225+64=289[/tex]

Solving for x:

[tex]x=\sqrt[]{289}=17[/tex]

x = 17