Question

DEF is a right triangle.

A. True
B. False

Answer 1

B

Explanation:

Just took the test

Answer 2

Given triangle DEF with the lengths of all sides. If you want to check whether this triangle is right, use the Pythagorean theorem. The greatest side is EF, then only this side could be the hypotenuse.

Check, whether

`EF^2=ED^2+DF^2.`

Substitute ED=25, EF=48 and DF=27:

`DF^2+DE^2=27^2+25^2=729+625=1354,\\ \\EF^2=48^2=2304.`

Since
`1354\\eq 2304,` the triangle DEF is not right triangle.

Answer: correct choice is B