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astraxan
14 days ago
15

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

Mathematics
2 answers:
babunello [8.4K]14 days ago
8 0
The result is √217. The step-by-step solution follows: (19)² = (12)² yields 361 - 144 + 217, leading to √217.
Leona [9.2K]14 days ago
8 0

Answer:

\sqrt{217}units

Step-by-step explanation:

Provided : A right triangle EFD

Hypotenuse = ED = 19 units

Base = DF = 12 units

Perpendicular = EF

Solution:

To determine the length of EF, the Pythagorean Theorem will be applied:

(Hypotenuse)^{2}=(Perpendicular)^{2}+(Base)^{2}

ED^{2}=EF^{2}+DF^{2}

19^{2}=EF^{2}+12^{2}

361=EF^{2}+144

361-144=EF^{2}

217=EF^{2}

\sqrt{217} =EF

Consequently, the length of EF is \sqrt{217}units

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