Question

main topic Pythagorean ​

Answer 1

Explanation:

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Answer 2

Answer:

$\;\large{\boxed{\sf{\purple{Answer}}}}$

• Definition:-

Pythogoras Theorem states that in a right angled triangle, the square of Hypotenuse is equal to the sum of squares of its Base and Height.

• Converse of Pythagoras Theorem:-

This is just the converse and derivative of Pythagoras Theorem. It states that if the square of Hypotenuse is equal to the sum of squares of its Base and Height, thenthe triangle is Right Angled Triangle.

This theorem can be formulated as,

$\;\large{\boxed{\bf{\pink{(Hypotenuse)^{2}\;=\;(Base)^{2}\;+\;(Height)^{2}}}}}$