Question

Is 144m,165m,219m a right triangle

Answer 1

Yes

Explanation:

For a triangle to be rights angled.

It should follow Pythagoras theorem.

Pythagoras theorem states that if sides containing right angle is a and b

then is given by

hypotenuse =
`√(a^2+b^2)`

As hypotenuse is always the greatest side

Out of the given sides 144m,165m,219m

219 can only be hypotenuse

Thus side containing right angle will be 144m and 165m .

Lets plug these value in formula of Pythagoras theorem

`hypotenuse = √(144^2 + 165^2) \\hypotenuse = √(20,736 + 27,225) \\hypotenuse = √(47961) \\hypotenuse = 219\\`

As we can see that hypotenuse calculated by us is same as given in problem.

Thus the given triangle is right angled.