Respuesta :
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 = [tex]\sqrt{a^2+b^2}[/tex]
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
[tex]hypotenuse = \sqrt{144^2 + 165^2} \\hypotenuse = \sqrt{20,736 + 27,225} \\hypotenuse = \sqrt{47961} \\hypotenuse = 219\\[/tex]
As we can see that hypotenuse calculated by us is same as given in problem.
Thus the given triangle is right angled.
