Answer :

Given: Three sides of a triangle are 8 cm, 15 cm and 17 cm.


To check if the triangle is a right-angled triangle, we verify by Pythagoras theorem.


Taking the longest side to be hypotenuse and other two sides as base and perpendicular, we have,


Hypotenuse, h = 17 cm


Perpendicular, p = 8 cm


Base, b = 15 cm


According to Pythagoras theorem,


h2 = p2 + b2


172 = 82 + 152


289 = 64 + 225


289 = 289


Hence, verified that the triangle is a right- angled triangle.


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