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3 votes
Question 8 of 10

What is the length of EF in the right triangle below?
D
19
ооо
12

F
A. 505
B. 217
C. √217
D. 22
E. √505
F. 7

Question 8 of 10 What is the length of EF in the right triangle below? D 19 ооо 12 □ F-example-1
User Nayan Dave
by
8.5k points

2 Answers

4 votes

Using the Pythagorean Theorem, we have:


$19^(2)=b^(2)+12^(2)$


361=b^(2)+144


217=b^(2)


√(217)=b

So, C)
√(217), is our answer.

User Turako
by
7.9k points
1 vote

Answer:

C

Explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

here hypotenuse is ED and the other sides are EF and DF , then

EF² + DF² = ED² ( substitute values )

EF² + 12² = 19²

EF² + 144 = 361 ( subtract 144 from both sides )

EF² = 217 ( take square root of both sides )

EF =
√(217)

User Andrew Gorcester
by
8.1k points

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