D(5, 7), e(4, 3), and f(8, 2) form the vertices of a triangle. what is
m∠def?

m∠DEF is 90°

Step-by-step explanation:

It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have

⇒

⇒

and

⇒

⇒

Also,  

⇒

⇒

Now,

⇒

⇒

Thus, Pythagoras theorem holds.

Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.

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step-by-step explanation: