Question

Since m∠E=90∘, △DEF is a right triangle and the Pythagorean theorem applies. Write an equation representing the relationship between the sides of △DEF. Use D⁢E, D⁢F, and E⁢F to represent the lengths of the sides.

Answer 1

As per we know according to Pythagorean theorem

• H^2=P^2+B^2

Here

• H=DF
• P=DE
• B=EF

`\\ \tt\hookrightarrow DF^2=DE^2+EF^2`

Answer 2

Explanation:

Since ∠E is right angle, its opposite side is DF and the legs are DE and EF.

Pythagorean applied:

• 
  `DF^2 = DE^2+EF^2`