Respuesta :

madeleineewilson
the answer is D

using the pythagorean theorem (a^2 + b^2 = c^2) you can solve for x
if you plug in the numbers into the equation, you end up with 6^2 + b^2 =10^2. simplifying this you end up with 36 + b^2 = 100. if you subtract 36 from 100 you get 64.
√64 is 8.
carlos2112

Answer:

[tex]D.\hspace{8}x=8[/tex]

Step-by-step explanation:

Use the Pythagorean theorem which states that in every right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. So, if in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relationship is true:

[tex]c^2=a^2+b^2[/tex]

In this case, let:

[tex]c=10\\\\a=x\\\\b=6[/tex]

Hence:

[tex]10^2=x^2+6^2\\\\100=x^2+36[/tex]

Solving for x:

[tex]x^2=100-36\\\\x^2=64\\\\[/tex]

[tex]\sqrt{x^2} =\sqrt{64}\\\\x=8[/tex]

Therefore, the value of x in the triangle is 8

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