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The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the other leg? 18 millimeters 20 millimeters 24 millimeters 28 millimeters

Respuesta :

playerawesome1
10^2 + b^2 = 26^2
100 + b^2 = 676
-100 -100
b^2 = 576
square root of b equals b
square root of 576 equals 24
The other leg equals 24
Lanuel

The length of the other leg of the right triangle is 24 millimeters.

Given the following data:

  • Hypotenuse of right triangle = 26 millimeters
  • Adjacent of right triangle = 10 millimeters

To find the length of the other leg of the right triangle:

The other leg is the opposite side of the right triangle and it would be calculated by using the Pythagorean's theorem.

Mathematically, Pythagorean's theorem is calculated by using the formula:

[tex]C^2 = A^2 + B^2[/tex]

Where:

  • C is the hypotenuse.
  • A is the opposite side.
  • B is the adjacent side.

Substituting the values into the formula, we have:

[tex]26^2 = A^2 + 10^2\\\\676 = A^2 + 100\\\\A^2 = 676 - 100\\\\A^2 = 576\\\\A = \sqrt{576}[/tex]

A = 24 millimeters.

Therefore, the length of the other leg of the right triangle is 24 millimeters.

Read more: https://brainly.com/question/23191665?referrer=searchResults

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