Pythagoras Theorem
The Pythagoras Theorem is a rule used in a right-angled triangle. A right-angled triangle is a
triangle that has one angle equal to 90°.
The Theorem Says:
(Hypotenuse)^2 = (Base)^2 + (perpendicular)^2
For example,
If Base = 4 and perpendicular = 3 then, we find the hypotenuse?
If we know two sides of the triangle, we can find the third side.
Now let us understand with the help of a diagram:
Imagine a right-angled triangle ABC, where angle B = 90° side AB = perpendicular = 3 and side
BC = base = 4 & side AC = hypotenuse.
Which we need to find?
Then, we apply the Pythagoras Theorem:
(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2 —------------>A
Solve equation ‘A’
By substituting the value of Base and Perpendicular in equation ‘A’.
(Hypotenuse)^2 = (4)^2 + (3)^2
(Hypotenuse)^2 = (16) + (9)
(Hypotenuse)^2 = 16 + 9
(Hypotenuse)^2 = 25
‘Taking square root on both sides’:
√(Hypotenuse)^2 = √25
The Pythagoras Theorem is a rule used in a right-angled triangle. A right-angled triangle is a
triangle that has one angle equal to 90°.
The Theorem Says:
(Hypotenuse)^2 = (Base)^2 + (perpendicular)^2
For example,
If Base = 4 and perpendicular = 3 then, we find the hypotenuse?
If we know two sides of the triangle, we can find the third side.
Now let us understand with the help of a diagram:
Imagine a right-angled triangle ABC, where angle B = 90° side AB = perpendicular = 3 and side
BC = base = 4 & side AC = hypotenuse.
Which we need to find?
Then, we apply the Pythagoras Theorem:
(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2 —------------>A
Solve equation ‘A’
By substituting the value of Base and Perpendicular in equation ‘A’.
(Hypotenuse)^2 = (4)^2 + (3)^2
(Hypotenuse)^2 = (16) + (9)
(Hypotenuse)^2 = 16 + 9
(Hypotenuse)^2 = 25
‘Taking square root on both sides’:
√(Hypotenuse)^2 = √25
