Question

How to find the perpendicular to base in a right angled triangle

Answer 1

Pythagorean Theorem is mainly based on the study of the right angled triangle. It is also known as Pythagoras Theorem. It helps us to calculate the unknown side of a right angled triangle provided the other two sides of the triangle are given. The three sides in a right triangle are: Base, Perpendicular and Hypotenuse. The angle made by the Base and Perpendicular is a right angle. 


EXAMPLE 


Question 1: Find the hypotenuse of a Pythagorean triangle whose base and perpendicular are 5 cm and 12 cm respectively ? 
Solution: 

  
Given, 
Base = 5 cm 
Perpendicular = 12 cm 
The Pythagorean Theorem is, 
Hypotenuse2 = Base2 + Perpendicular2 
Hypotenuse2 = (5 cm)2 + (12 cm)2 
Hypotenuse2 = 25 cm2 + 144 cm2 
Hypotenuse2 = 169 cm2 
Hypotenuse = 13 cm