Question

in which type of a triangle is the square of hypotenuse equals to the sum of the squares of the remaining two sides​

Answer 1

Answer:

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“.

Triangle Theorems: Pythagorean Triples

Opposite Angles: Obtuse Angled Triangle

Area Of A Triangle: Properties Of Triangle

Learn Mathematics: Geometry Basics

Step-by-step explanation:

The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

Pythagoras Theorem Formula

Consider the triangle given above:

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

Hypotenuse2 = Perpendicular2 + Base2

Answer 2

★ Answer :

In a right-angled triangle, the square of hypotenuse equals to the sum of the squares of the remaining two sides.

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★ Know More :

$\boldsymbol{\underline{Pythagoras' \: theorem \: :-}}$

Pythagoras was an eminent Greek philosopher who was born in 580 BC and died in 500 BC. He gave a wonderful relation between the lengths of the sides of a right triangle, which is known as Pythagoras' theorem.

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In a right triangle, the square of the hypotenuse equals the sum of the squares of its remaining two sides.