Right Angle Formula

The three sides of a right angles triangles are – Perpendicular, Base(Adjacent) and Hypotenuse(Opposite). The largest side side which is opposite to the right-angle(90 degree) is known as the Hypotenuse.  The side that is adjacent to the right angle are called legs cathetus. Thus both base and Perpendicular are known as Cathetus.

To find the side of the triangle, we need the sides of other two triangle.

right angleThe Right angled triangle formula known as Pythagorean theorem (Pythagoras Theorem) is given by

\[\large Hypotenuse^{2}=(Adjacent\;Side)^{2}+(Opposite\;Side)^{2}\]

Solved Examples

Question 1: Find is the value of X, where the 15 cm and 20 cm are the sides of the right angled triangle?

Solution:

Given:
Adjacent side = 20 cm
Opposite side = 15 cm

The right angled triangle formula is given by
(Hypotenuse)2 = (Adjacent side)2 + (Opposite side)2
= (20)2 + (15)2
= 400 + 225
= 625 cm
Hypotenuse = $\sqrt{625}$ = 25 cm.

Practise This Question

Papu takes a test and he is very 'determined' about passing the test. He will not give up until he passes the test. How would the sample space of results look like if p stands for pass and F stands for fail, given that he can take the test atmost five times and no test after passing?