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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.

Sagot :

Step-by-step explanation:

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

Pythagorean applied:

  • [tex]DF^2 = DE^2+EF^2[/tex]

As per we know according to Pythagorean theorem

  • H^2=P^2+B^2

Here

  • H=DF
  • P=DE
  • B=EF

[tex]\\ \tt\hookrightarrow DF^2=DE^2+EF^2[/tex]