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

Answer choice C

Step-by-step explanation:

By the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the legs. You can rearrange this to find one of the legs using the other two sides of the right triangle:

Therefore, the correct answer is choice C. Hope this helps!

C. 2√119

Step-by-step explanation:

To do this you can use the Pythagorean theorem where a^2 + b^2 = c^2. a and b represent the legs and c represent the hypotenuse. We can rearrange the equation and get c^2-b^2=a^2, and substitue 24 for c and 10 for b. This means 24^2-10^2=a^2. This simplifies to 576-100=a^2, or 476=a^2.

This means that √476=a, but we can simplify this as √4*119 and turn that into 2√119, or C. As 119 cannot be divided by any more perfect squares, this is the simplest form.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

step-by-step explanation: