How many acute angles are in an obtuse triangle

Find the measure of. The measure of is. Since , , and are collinear, and the measure of is , we know that the measure of is. Because the measures of the three angles in a triangle must add up to , and two of the angles in triangle are and , the third angle, , is. The largest angle in an obtuse scalene triangle is degrees. The second largest angle in the triangle is the measurement of the largest angle. What is the measurement of the smallest angle in the obtuse scalene triangle? Since this is a scalene triangle, all of the interior angles will have different measures.

However, it's fundemental to note that in any triangle the sum of the measurements of the three interior angles must equal degrees. The largest angle is equal to degrees and second interior angle must equal: Therefore, the final angle must equal:. In an obtuse isosceles triangle the largest angle is degrees. Find the measurement of one of the two equivalent interior angles.

An obtuse isosceles triangle has one obtuse interior angle and two equivalent acute interior angles. Since the sum total of the interior angles of every triangle must equal degrees, the solution is:. In an acute scalene triangle the measurement of the interior angles range from degrees to degrees. Find the measurement of the median interior angle.

Acute scalene triangles must have three different acute interior angles--which always have a sum of degrees. Thus, the solution is:. The smallest interior angle is the measurement of the largest interior angle. Find the measurement of the third interior angle. An obtuse scalene triangle must have one obtuse interior angle and two acute angles. Therefore the solution is: All triangles have three interior angles with a sum total of degrees. The largest angle in an obtuse isosceles triangle is degrees.

Find the measurement for one of the equivalent acute interior angles. Triangle XYZ is isosceles. The base angles, angle X and angle Y, are four times the measure of What is the isosceles triangle theorem? See all questions in Angles with Triangles and Polygons. Impact of this question views around the world. It's impossible for a triangle to have more than one obtuse angle.

To calculate the length of the sides:. If C is the greatest angle and h c is the altitude from vertex C, then the following relation for altitude is true for an obtuse triangle:. For an obtuse triangle with angles A, B, and C:. In other words, all of the angles in an acute triangle are acute. In an acute triangle, the following is true for the length of the sides:.

If C is the greatest angle and h c is the altitude from vertex C, then the following relation for altitude is true for an acute triangle:. For an acute tirangle with angles A, B, and C:. Actively scan device characteristics for identification. Use precise geolocation data. It's all big and open. It won't be able to notice things that are small because I don't know.

Maybe that's not an appropriate analogy. But one way to think about it, it's kind of open up wider, or it's bigger than a right angle. It's larger than 90 degrees if you measure it. You would have to rotate this ray more to get to this other ray than you would if they were right angles, and definitely a lot more than if they were acute angles. If I were to draw this with lines, which of the angles are obtuse and which are acute? Well, the way I've drawn them right over here, these two over here are acute, and then these over here are going to be obtuse.

This one and this one, these are both obtuse angles. And I actually drew it up here, as well. This one and this one are going to be obtuse. So very simple idea. If one line or one ray relative to the other one is straight up and down, versus to left and right, or is completely upright, then we're talking about a right angle. If they're closer to each other, if you have to rotate them less, you're talking about an acute angle.

If you have to rotate them more, you're talking about an obtuse angle. And I think when you just look at them visually, it's pretty easy to pick out. Identifying an angle. Angle types. Up Next.