Question

If the sides of the triangle are 12,35 and37, determine whether the triangle is a right angled triangle. justify

Answer 1

Answer:

By Pythagoras' theorem,

Base^2+Perpendicular^2=Hypotenuse^2

In given triangle,

12^2+35^2= 144+1225=1369

37^2=1369

Thus, 12^2+35^2=37^2

So it is a right angled triangle.

Hypotenuse is longest side, i.e., 37 cm.

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Answer 2

Answer:

Yes,The triangle is a right angled triangle.

Step-by-step explanation:

The sides of the triangle are 12,35 and 37.

Let The greatest side of thr traingle be hypotenuse i.e 37.

2 2 2

37 = 35 + 12.....( by using converse of pythagoras thm)

1369= 1225+ 144

1369= 1369

Therefore, the squares of the sum of the sides of a triangle is equal to the hypotenuse.

Hence it is a right angled triangle