Question

In right angle triangle PQR, PR perpendicular PQ the by Pythagoras theorem ________=_______ ​

Answer 1

In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry.

Pythagorean Theorem is also known as ‘Pythagoras theorem’ and is related to the sides of a right angled triangle.

Statement of ‘Pythagoras theorem’:

In a right triangle the area of the square on the hypotenuse is equal to the sum of the areas of the squares of its remaining two sides.

(Length of the hypotenuse)2 = (one side)2 + (2nd side)2

In the given figure, ∆PQR is right angled at Q; PR is the hypotenuse and PQ, QR are

the remaining two sides, then

(PR)2 = PQ2 + QR2

(h)2 = p2 + b2

[Here h → hypotenuse, p → perpendicular, b → base]

Pythagorean Theorem