Question

In the given right angled triangle ABC, ∠ B = 90°. Find the value of x?​

Answer 1

Answer:

It is your desired answer.

Answer 2

Given - Sides of a triangle

Find - Value of x

Solution - The value of x is 3.

The sides of the right angled triangle are calculated by the Pythagoras theorem. As per the theorem,

Hypotenuse² = Base² + Perpendicular²

In the given triangle, Hypotenuse is (x+2), Perpendicular is 5 and Base is (x-3).

(x+2)² = 5² + (x-3)²

x² + 4x + 4 = 25 + x² - 6x + 9

On solving, the equation will be -

6x + 4x = 25 + 9 - 4

Performing addition and subtraction to find the value of x

10x = 30

x = 30/10

Performing division to find the value of x

x = 3

So, the value of x is 3.