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.