Question

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

Answer 1

Answer:

Yes

Step-by-step 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 =  $\sqrt{a^2+b^2}$

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

$hypotenuse = \sqrt{144^2 + 165^2} \\hypotenuse = \sqrt{20,736 + 27,225} \\hypotenuse = \sqrt{47961} \\hypotenuse = 219$

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

Thus the given triangle is right angled.