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# how to draw an acute scalene triangle

Question:

Answers:Yep. Acute angles are under 90 degrees, and the sum of three angles in a triangle only has to equal 180 degrees. You could have a 30, 70, 80 degree triangle, for example.

Question:Have you noticed that, if asked to draw a triangle with no special characteristics, it is actually quite hard. By this I mean that the result is quite likely to look nearly right-angled or nearly isosceles (including of course equilateral). Naturally, any definition of "nearly" is a personal opinion but my choice would be:- Nearly right-angled if any angle A is such that, 85 =< A =< 95 degrees. Nearly isosceles if any pair of angles say A, B, obey abs(A - B) =< 5 degrees. What do you think? How could we quantify this "quite likely" outcome? Since my personal definition of "nearly" involves angles, then I would pick three angles at random from all of those which sum to 180 degrees.

Answers:As paradoxical as it seems, there is no unique way to define a "randomly drawn" triangle. The statistics of "random triangles" depends on how it was selected, and there is more than one way to do that. Here are some examples: 1) Let perimeter = 1. Divide the perimeter at random into 3 pieces. Form triangle. 2) Let total angles = 180 degrees. Divide 180 at random into 3 angles. Form triangle. 3) Pick 3 points at random inside a circle. Connect dots. 4) Pick 3 coordinates of the form (x,y) at random, where 0 < x, y < 1. Connect dots. 5) Pick longest side of triangle. Draw 2 arcs of same length from each end, forming an arched area. Pick point at random inside this area. The 3 points form a triangle. All of them give different results. There's more ways. That last one was the basis of a famous "proof" by Lewis Carroll, which was later shown to be biased. Since then, there have been dozens of papers written on this subject, on just how to "pick a random triangle", but with no clear answers just how. Which method do you want to use for your question?

Question:explain thoroughly!!

Answers:draw a line from the base of the angle up to the segment accross from it

Question:How many acute Angles can there be in a scalene triangle? idk.

Answers:3 Example: A triangle with angles 59, 60 and 61.