ameliaalvarado081505
ameliaalvarado081505 ameliaalvarado081505
  • 26-10-2021
  • Mathematics
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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 class=

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kerokerozhong kerokerozhong
  • 26-10-2021

Answer:

24

Step-by-step explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]

Now isolate a on one side and solve for a.

[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]

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