Question

If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then what type of triangle was formed?
A. right
B. acute
C. obtuse
D. scalene

Answer 1

Well.. whatever said in words basically means, pythagorus theorem doesn't hold good!.. so you can rule out right!!.. so now can you guess which it can be?

Answer 2

I think acute?

Answer 3

???

Answer 4

Now, I am drawing two triangles, one for the right angle and other for the case where longest side is slighty longer, with the other two sides constant, making the square of the longest side longer than the sum of the squares of the two other sides longer as well. Then you try to compare..

Answer 5

The second one..

Now AB' is the same as AB, but, A'C increases in length.

Now look at the angle B in both cases. What do you think is happening to it?

Answer 6

@alainabbyboo22

Answer 7

i think C. will be right