Question

part b
since ( mangle e = 90^circ ), ( \triangle def ) is a right triangle and the pythagorean theorem applies. write an equation representing the relationship between the sides of ( \triangle def ). use ( de ), ( df ), and ( ef ) to represent the lengths of the sides.

Explanation:

Step1: Identify right triangle parts

In $\triangle DEF$, $\angle E = 90^\circ$, so the hypotenuse is $DF$ (opposite the right angle), and the legs are $DE$ and $EF$.

Step2: Apply Pythagorean theorem

The theorem states the sum of the squares of the legs equals the square of the hypotenuse.
<Expression>
$DE^2 + EF^2 = DF^2$
</Expression>

Answer:

$DE^2 + EF^2 = DF^2$