Right acute or obtuse?

Question

Geometry

Ok here it is.I am given 3 numbers

20 99 101

then it asks me
Decide wether the numbers can represent the side lengths of a triangle.If they can classify the triangle as a right,acute or obtuse.

How do i decide?i go to my book but there are no examples on it.

Answer 1

Pythagoras strikes again! Suare all the numbers, and add the two smaller squares. If the sum matches the square of the largest, it's a right triangle. If the sum is larger, it's acute; if smaller, obtuse.

Answer 2

This is a question of angles relating to triangles, a geometric shape with 3 sides.

The first step is to see if 20 / 99 / 101 could be the lengths of (the 3 sides of) a triangle, and since we have 3 lengths...

I can tell you without going further that with two really long sides and one very short one, what kind of a triangle it is, but read on:

The next thing would be to draw a triangle, grab an 8.5 x 11 piece of paper and draw a triangle with sides of 20, 99, and 101 long (hint; use a small unit of measure such as millimeters).

Because it does not matter whether the sides are in inches or meters or miles, the final figure will have the same angles, the only difference would be the scale (but who cares lol).

Then, measure the degree of each angle, and remembering that an angle between 0-90 (but not including 90) is acute, an angle that is exactly 90 degrees is right, and an angle greater than 90 degrees is obtuse:
- An acute triangle is A triangle in which all three angles are acute angles.
- A right triangle is a triangle with one angle of 90 degrees.
- And, an obtuse triangle is a triangle in which one of the angles is an obtuse angle.

Answer 3

A right angle has exactly 90 degrees.
Between 0 and 90 degrees will be an acute angle.
Larger than 90 degrees is an obtuse angle.
20-acute
99-obtuse
101-obtuse

there ya go! hope i was helpful!

Answer 4

http://www.factmonster.com/ipka/A0876325.html

http://www.mathleague.com/help/geometry/polygons.htm