Question

What is the answer for x

Answer 1

x = 20

Explanation:

We need to use Pythagoras theorem in this question. Pythagoras theorem states that a² + b² = c². This means that c² is hypotenuse (the angle opposite the right angle) but in this question we are given the length of the hypotenuse so we have to rearrange the equation,

→ a² + b² = c²

⇒ Substitute in the values

→ 48² + b² = 52²

⇒ Simplify it

→ 2304 + b² = 2704

⇒ Minus 2304 from both sides to isolate b²

→ b² = 400

⇒ Square root both sides to isolate b and find the value of x

→ b = 20

The length of x is 20

Answer 2

x=20

Explanation:

This is a right triangle, so we can use the pythagorean theorem to help us find x.

The the theorem states that the sum of the legs squared is equal to the length of the hypotenuse squared.

Thus, our equation is:

x^2+48^2=52^2

Simplify.

x^2+2304=2704

Subtract 2304 from both sides.

x^2=400

Find the square root of both sides.

x=20