Question

show that the triangle ABC is a right angled triangle if: AB =9 CM, BC = 40 CM and AC = 41 CM

Answer 1

according to pythagorous theorem,
h^2=p^2+b^2
41^2= 1681
p^2= 81
b^2= 1600
so , p^2+b^2= 1682 = h^2

Answer 2

Answer:

Phythogrese theorem is true for all right angles.

So if we prove side^2+side^2=hypotunese^2 then triangle is right angles.

Proof:AC is longest side. So it is hypotunese.

AB^2+BC^2=AC^2

9^2+40^2=41^2

Lhs

=81+1600

=1681

Rhs=41*41

=1681

Therefore lhs =rhs

ABC is a right angle triangle

Right angles at B