Question

A triangle has two sides that measure 14 feet and 13 feet. Which could be the measure of the third side.

Answer 1

The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse. Use the Pythagorean Theorem formula

$A^{2}$ + $B^{2}$ (14 Ft.) =$C^{2}$ (13Ft.)

$A^{2}$ + (13)(13) = (14)(14)

$A^{2}$ + 169 = 196

$A^{2}$ = 196-169

$A^{2}$  = 27