which one
acute
obtuse
not a triangle
right
2007-01-03 16:40:37 · 6 answers · asked by Chris 1 in Science & Mathematics ➔ Mathematics
right - 90 degrees
acute - <90 degrees
obtuse - >90 degrees
acute
because
√(11² + 12²) = 16.2788 > 13.
(if √(11² + 12²) equaled 13, it would be "right", therefore a smaller side gives an angle <90)
2007-01-03 16:52:52 · answer #1 · answered by Esse Est Percipi 4 · 0⤊ 0⤋
We know that this cannot be a right triangle because this is not a Pythagorrean triple. 11^2+12^2 does not equal 13^2. We know that this is a triangle because the only way that it wouldn't be a triangle is if one of the sides were longer than the other two put together, and this is not the case.
Now we have narrowed it down to acute and obtuse. To be acute, the angles must all be less than 90 degrees. To be obtuse, there must be one angle that is greater than 90 degrees.
If 11^2+12^2 is greater than 13^2, then the triangle must be acute. If 11^2+12^2 is less than 13^2, then the triangle must be obtuse.
In our case, 11^2+12^2 is greater than 13^2, so our triangle must be acute.
I hope that this helped.
2007-01-03 16:54:59 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Don't follow Jerry's advice. Use what you know about triangles.
1. the sides are all different and therefore it's not equolateral
2. the sides do not fit the Pythagorean equation, hence it's not a riight triangle
The words acute and obtuse describe angles, not triangles.
So, those it's just a plain old triangle...big deal, it just means that it has 3 sides, hell you knew that!
2007-01-03 16:57:05 · answer #3 · answered by modulo_function 7 · 0⤊ 3⤋
Acute I think because the only triangle that doesn't have equal sides is the scalene triangle.
2007-01-03 17:58:42 · answer #4 · answered by Anonymous · 0⤊ 1⤋
It's almost an equilateral
2007-01-03 17:12:37 · answer #5 · answered by arbiter007 6 · 0⤊ 0⤋
Acute.
Why not just draw it and measure?
2007-01-03 16:42:42 · answer #6 · answered by Jerry P 6 · 0⤊ 1⤋