Question

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

Answer 1

`"yes a right triangle"`

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"`