Question

How do you determine if the lengths `8, 31.5, 32.5` form a right triangle?

Answer 1

`"right triangle"`

Explanation:

`color(blue)"Converse theorem of Pythagoras"`

`"if the "("longest side" )^2" is equal to the sum of the square"`
`"of the other 2 sides then it is a right triangle"`

`("longest side")^2=(32.5)^2=1056.25`

`8^2+(31.5)^2=64+992.25=1056.25`

`rArr"the 3 lengths form a right triangle"`