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