Respuesta :

ukulelegirl642

Answer:

16

Step-by-step explanation:

The formula for finding the length of a side of a right triangle is:

A^2 + B^2 = C^2 (c being the hypotenuse.)

We know what the length of the hypotenuse and one of the legs is, so we can solve by taking B^2 (the leg measuring 12) and subtracting it from C^2 (the hypotenuse) and then finding the square root of C^2.

20^2 - 12^2 = 256

or in simpler terms

20^2 - 144 = 256

Then, if we find the square root of 256 we get 16. We can check our work by substituting it back into the equation

16^2 + 12^2 = 20^2

or in simpler terms

256 + 144 = 400

So the length of the missing leg is 16. I hope this helps :)

lpquartz

Answer:

C. 16

Step-by-step explanation:

In order to find one side of a right triangle, given two sides, you can use the Pythagorean theorem: [tex]A^2+B^2=C^2[/tex]

We already have the values of one of the bases (12) and the hypotenuse (20), so we are looking for the second base. So, we have the values of B and C, and we need to find A.

To find A, put the values you already have into the formula as follows:

[tex]A^2+12^2=20^2[/tex]

Next, square each value:

[tex]A^2+144=400[/tex]

Subtract 144 from 400 to simplify the equation.

[tex]A^2=256[/tex]

And finally, find the square root of 256 to find A.

[tex]A=16[/tex]

Final answer:

C. 16

Have a nice day!

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