Question

What is the value of x?

Enter your answer in the box.

x =
A right triangle. The legs are labeled seven and twenty-four, and the hypotenuse is labeled x.

Answer 1

Solution :-

Given -

The two sides other than hypotenuse = 7 cm and 24 cm

By using Pythagoras Theorem.

(Hypotenuse)² = √(Base)² + (Perpendicular)²

Let the hypotenuse of the given triangle be x cm

⇒ (x)² = √(7)² + (24)²

⇒ √49 + 576

⇒ √625

⇒ 25

So, the length of hypotenuse is 24 cm.

Answer 2

`x=25`

Explanation:

From the given statement, it is given that ABC is a right triangle which is right angled at B and AC=x, AB=24 and BC=7.

Then, using the Pythagoras theorem , we have

`(AC)^2=(AB)^2+(BC)^2`

Substituting the given values, we have

`x^2=(24)^2+(7)^2`

`x^2=576+49`

`x^2=625`

`x=25`

Therefore, the value of x is 25.