Pythagoras theorem

Pythagoras was introduced by the great mathematician Pythagoras. He has given the equation through which we can find the hypotenuse,base, perpendicular of the right angle triangle. Trigonometric ratios which is a topic of class 10 is fully based on this principle . 

Equation of Pythagoras theorem


Explanation of equation 

In a figure the opposite side of right angle is hypotenuse and on which the perpendicular lines has made is know as base of a right angle triangle . 

Example question 

Find the hypotenuse of a right angle triangle whose base is 4cm  and perpendicular is 3cm.

Solution 

Base = 4cm 

Perpendicular = 3cm

Hypotenuse = ?

By Pythagoras theorem

(H)²=(B)²+(P)²

H²=4²+3²

H²=16+9

H²=25

H=√25

H=5cm

Therefore, hypotenuse of a given right angle triangle is 5cm.