SOLUTION: Hello there, Ryan here. I have received a question on a homework sheet and I am really stuck with it. Here is the question typed exactly as displayed: 'A triangle has sides with

Algebra ->  Triangles -> SOLUTION: Hello there, Ryan here. I have received a question on a homework sheet and I am really stuck with it. Here is the question typed exactly as displayed: 'A triangle has sides with      Log On


   



Question 846017: Hello there, Ryan here. I have received a question on a homework sheet and I am really stuck with it. Here is the question typed exactly as displayed:
'A triangle has sides with lengths of 10 metres, 16 metres and 20 metres. Is it a right angled triangle? Explain your reasoning.'
I hope you can get to me before Friday 28th February 2014.
Thanks for your time,
Ryan
Year 8 Student
Cedar Mount Academy, Gorton

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we know that for a right triangle the sum or the squares of the two shorter sides must equal the square of the longest side, therefore we have
10^2 + 16^2 = 20^2
100 + 256 = 400
356 not = 400
therefore this is NOT a right triangle