Question

On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° . What statement is true about the triangle?

EF=7 in.

DF=2 in.

DF=4 in.

EF=4 in.

Answer 1

we can see that one of the angles (DE) is 90 degree, which means

DE^2 + DF^2 = EF^2

Since DE = 4 in, the only possible result of the triangle would be :
DE = 4 in
DF = 3 in
EF = 5 in