# Is a triangle with sides of lengths 32, 60, and 68 a right triangle?

##### 1 Answer

Apr 1, 2018

#### Answer:

#### Explanation:

#"using the "color(blue)"converse of Pythagoras' theorem"#

#• " if the square of the longest side is equal to the sum of"#

#color(white)(xxx)"the other two sides squared then it is a right triangle"#

#"longest side "=68#

#rArr68^2=4624#

#rArr32^2+60^2=1024+3600=4624#

#rArr32, 60" and "68" are the sides of a right triangle"#