Question

Find the unknown side length, x. write your answer in simplest radical form.

Answer 1

Answer:

Unknown side length is $2\sqrt{119}$

C is correct.

Step-by-step explanation:

We are given a right angle triangle whose two sides are 24 and 10.

As shown in figure 24 is longest side. It would be hypotenuse of triangle. 10 would be length of one leg and x would be length of another leg.

It is right angle triangle. Using pythagoreous theorem find out another leg (x)

Pythagoreous theorem:

$a^2+b^2=c^2$

where, a=x, b=10 and c=24

$x^2+10^2=24^2$

$x^2=576-100=476$

$x=\sqrt{476}$

$x=2\sqrt{119}$

Thus, Unknown side length is $2\sqrt{119}$

Answer 2

X = sqrt(24^2 - 10^2) = sqrt(576 - 100) = sqrt(476) = 2 sqrt(119)