Question

What is the value of x?

Answer 1

Answer:

x = 24

Step-by-step 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

Answer 2

Answer:

$x=24$

Step-by-step 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:

$\sqrt{x^2}=\sqrt{576}\\x=\sqrt{576}=24$

The answer is 24.