Question

Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 5,11,13?

Answer 1

according to pythagoras theorem,

p^2+b^2= h^2

so,

L.H.S=5^2+11^2 and R.H.S=13^2

L.H.S=25+121and R.H.S=169

L.H.S=146 and R.H.S =169

here L.H.S is not equal to R.H.S

hence these sides of ∆ does not satisfy the pythagoras theorem.

follow me....

Answer 2

no, because pythagorean theorem said that hypotenuse2 = perpendicular2 + base2

but (5)2 + (11)2 = (13)2

25 + 121 = 146 which is not equal to (13)2= 169