Question

Find the value of x.

Answer 1

D.
`2\sqrt{41`

Explanation:

Using the Pythagorean theorem, we can use the equation

a^2+b^2=c^2

to find the hypotenuse (the longest side of a triangle).

let's plug in the values!

8^2 +10^2=c^2

64 + 100 = c^2

164 = c^2

now find the square root of 164.

`\sqrt{64`

the closest answer is

D.
`2\sqrt{41`

Answer 2

2 sqrt(41) = x

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2

8^2 + 10 ^2 = c^2

64+ 100 = c^2

164 = c^2

Taking the square root of each side

sqrt(164) = sqrt(c^2)

sqrt(4*41) = c

2 sqrt(41) = c