Question

What is meant by Pythagorean Theorem?

Answer 1

$\huge \mathfrak\purple {Answer}$

PYTHAGOREAN theorem is a fundamental relationship in Eucledian geometry among three sides of a triangle .It states that the area of a square whose hypotenuse is equal to the sum of the areas 9f the squares on other two sides.

Answer 2

Pythagorean Theorem

Pythagoras Theorem explains the relation between the sides of a right-angled triangle. It is also sometimes called the Pythagorean Theorem.

Pythagoras theorem is basically used to find the length of an unknown side and angle of a triangle.

$\\ {\underbrace{\tt{Concept_{( \small\pink{Pythagoras \ Theorem})} }}}$

Pythagoras theorem states that " In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides ".

The sides of this triangle have been named as

• Perpendicular (P)
• Base (B)
• Hypotenuse (H)

Formula:

$\\ \bigstar{\purple{\boxed{\underline{\tt{ Hypotenuse^2 = Base^2 + Perpendicular^2 }}}}}$

Example:

$\bigstar$ How to use?

To use this theorem,

$\leadsto$ H² = B² + P²

Where as

• H, B, and P are sides

IF the value of B = 3 cm, P = 4 cm, then find the value of H?

We know that,

$\leadsto$ H² = B² + P²

$\leadsto$ H² = (3)² + (P)²

$\leadsto$ H² = 9 + 16

$\leadsto$ H² = 25

$\leadsto {\tt{ H = \sqrt{25} }}$

$\leadsto$ H = 5 cm

• The third side of a triangle is 5 cm (Hypotenuse) .

Application of Theorem:

• To know if the triangle is a right-angled triangle or not.

• In a right-angled triangle, we can calculate the length of any side if the other two sides are given.

• To find the diagonal of a square.