Question

A Math student is designing a logo for a Geometry Club that contains 4 trianglescontained in a square. The approximate lengths of the legs of the blue triangle in thefigure are 12 and 13 mm. What is the approximate length of the hypotenuse of theblue triangle in millimeters? Round to the nearest millimeter, and enter the numberonly.

Answer 1

ok

To solve this problem use the Pythagorean theorem.

hypotenuse^2 = short leg^2 + long leg^2

Substitution

hypotenuse^2 = 12^2 + 13^3

Simplification

hypotenuse^2 = 144 + 169

hypotenuse^2 = 313

Result

hypotenuse = 17.7 rounding

hypotenuse = 18 mm