The length of one of the legs in a right triangle is 4 inches. If the hypotenuse is 12 inches long, what is the length of the other leg

Respuesta :

Perfect situation in which to apply the Pythagorean Theorem!  Please look that up.  Hints:  (1) This is a right triangle, so you can apply the Pyth. Thm.  (2) The length of the longest side, the hypotenuse, is given and is 12 inches long.  (3) The length of one of the legs is given and is 4 inches.

Write out the Pyth. Thm. here, please.  Then substitute "12 inches" for the hypo and "4 inches" for the length of one leg.  Let x^2 represent the square of the length of the other leg.

Solve your equation for x^2.  Next, solve your most recent result for x.  Be sure to include units of measurement (inches).


The length of the other leg of the triangle will be 11.31 inches.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of one of the legs in a right triangle is 4 inches.

If the hypotenuse is 12 inches long.

Then the length of the other leg of the triangle will be

B² = 12² - 4²

B² = 144 - 16

B² = 128

 B = 11.31 inches

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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