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Can a triangle have an obtuse anlge and a right angle'?
No. ================================ Another contributor waxed more verbose: The three angles inside a triangle must add up to 180 degrees. A right angle has 90 degrees, and an obtuse angle is one with more than 90 degrees. You'd have more than 180 degrees right there with those two angles, and you'd still need another angle in your triangle. So it doesn't work
Can there be a triangle with two obtuse angles?
no, the definition of an obtuse angle is an angle greater than 90 degrees. a triangle, by definition, can only have a total of 180 degrees. therefore, even if you have two 91 degree angles, that still exceeds 180. therefore, no, you cannot have a triangle with two obtuse angles.
Why must a triangle with an obtuse angle have two acute angles?
First drop of knowledge: the angles of a triangle must combine to equal 180 degrees. An obtuse angle is more than 90 degrees, a right angle is 90 degrees, and an acute angle is less than 90 degrees. Because an obtuse angle is present, it is already over 90 degrees. Let's say it is the least possible whole number for an obtuse angle, which is 91 degrees. Two more obtuse angles would put it above 180 degrees, which is too much to be at triangle. Two right angles would still put it above 180 degrees, still too much. The only combination left is two acute angles (in this case, 45 and 44 degrees). Thus, even the lowest of whole numbers for an obtuse angle requires two acute angles, so any other higher number will require the same.
Can a triangle have one obtuse andgle and two acute angles?
No. If a triangle has an obtuse angle, the other two will be acute.Addition from another contributor: The measurement of all three of a triangle's angles combined is always 180 degrees, and an obtuse angle is by definition greater than 90 degrees and less 180. Thus, any possible combination of two obtuse angles, even of the smallest possible, (if there was such a thing) would still yield a measure greater than 180 degrees.
Are an obtuse triangle and a acute triangle sometimes congruent?
Congruent means "equals" or "the same." Basically if you take a shape and flip it over or mirror it, or do anything else that copies the original in size and shape, it is congruent to the original. An obtuse triangle has one angle greater than 90* and an acute triangle has three angles that are less than 90*. No matter how you turn or flip or mirror those triangles, acute will never be obtuse and obtuse will never be acute. But if you take an acute triangle, and flip it upside down, it is still acute, and still has the same proportions, and therefore is congruent to the original.
