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In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Select all that apply

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Select-example-1
User XamlZealot
by
6.6k points

1 Answer

2 votes

Answer:

option 1

Explanation:

I am not sure, what your are asking about.

in your text you define the length of DF (20), but the answer options (only 2 visible) also specify DF but differently.

so ... ?

when you said DF=20, did you actually mean DE ?

under that assumption

DE = 20 = Hypotenuse of the right-angled triangle (the opposite side of the 90 degree angle).

EF = 17

based on Pythagoras

c² = a² + b²

we have here now

20² = 17² + DF²

400 = 289 + DF²

DF² = 400 - 289 = 111

DF = sqrt(111)

User Kelsey
by
5.8k points
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