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What is the length of EF in the right triangle below?

What is the length of EF in the right triangle below?-example-1

2 Answers

6 votes
C. The answer would be C
User Ahdaniels
by
8.7k points
5 votes
ANSWER

The length of EF is

24units


Step-by-step explanation


The given triangle is a right angle triangle.

The hypotenuse is |ED|. The two shorter legs are |EF| and |DF|.


We can apply the Pythagoras Theorem to find the length of EF.


According to the Pythagoras Theorem,



image

We now substitute the values in to the formula to obtain,




image


This gives us,



image


We now group like terms to obtain,



image


The right hand side will evaluate to,



image


We take the positive square root of both sides to obtain,



image



image

The correct answer is C.
User Pedrofurla
by
8.5k points