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Applications of Pythagoras 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.

Example:

PQR is a triangle, right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

Solution: Given: PQ = 10 cm, PR = 24 cm

Let QR be x cm.

In right angled triangle QPR,

2
2
2
(Hypotenuse) = (Base) + (Perpendicular) [By Pythagoras theorem]
Find QR.

2
2
2
=> (QR) = (PQ) + (PR)
2
2
=> x = 10 + 24
=> x = 100 + 576

=> x= 100 + 576 = 676

=> x = 676

=> x = √676

=> x = 26 cm

Thus, the length of QR is 26 cm.