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How do you classify a triangle by its angles?
If all three angles of a triangle measure less that 90 degrees (if all three angles are acute), the triangle is an acute triangle. A triangle that has a right angle (an angle the measures exactly 90 degrees) is a right triangle. (The other 2 angles will be acute angles.) A triangle that has an angle that is greater than 90 degrees (an obtuse angle), is an obtuse triangle. (The other 2 angles will be acute angles.)
Classify the triangle with sides 10 13 19 as acute right or obtuse?
In a right triangle, a2 + b2 = c2, where c is the longest side. If the square of the longest side is more than the sum of the other two squares, the triangle has an obtuse angle. If it is less, all angles are acute.
If a triangle has one obtuse angle then the other two angles are acute?
In Euclidean geometry, the sum of the angles in any triangle is always 180 degrees. If one angle in a triangle is obtuse (greater than 90 degrees), the sum of the other two angles must be less than 90 degrees in order to total 180 degrees. This means that the other two angles must be acute (less than 90 degrees) to complement the obtuse angle and satisfy the triangle angle sum theorem.
When two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle?
this is true
What does a right acute triangle look like?
Such a triangle would presumably have one right angle, and two acute angles. A right angle has a measure of 90 degrees; an acute angle has a measure of less than 90 degrees. Since both of the other two angles in a right triangle must be acute angles, you'd think at first that every right triangle must be a right acute triangle. But when you go and look up the definition of an "acute triangle", it turns out to be a triangle in which all three angles are acute. So the fact is that there's no such thing as a right acute triangle, because the 90-degree angle in a right triangle is not acute.
