Question

What is the value of x?

Answer 1

`x=24`

Explanation:

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

The Pythagorean Theorem is:

`a^2+b^2=c^2`

The hypotenuse is c, and the legs are a and b.

Plug in 26 for c since 26 is the hypotenuse, and let 10 for a and x be b. Therefore:

`x^2+10^2=26^2`

Square:

`x^2+100=676`

Subtract 100 from both sides:

`x^2=576`

Take the square root of both sides:

`√(x^2)=√(576)\\x=√(576)=24`

The answer is 24.

Answer 2

x = 24

Explanation:

Pythagorean Theorem: a² + b² = c²

a = a leg

b = another leg

c = hypotenuse

Step 1: Plug in known variables

x² + 10² = 26²

Step 2: Evaluate

x² + 100 = 676

Step 3: Isolate x term

x² = 576

Step 4: Isolate x

√x² = √576

x = 24