Can an isosceles triangle have two right angles?

Question

Why is that?

Answer 1

no triangle for that matter can have2 rt. angles
the three angles=180*
if two angles add upto 180* the third has to be zero

Answer 2

No. It can't have two right angles, under the usual definition of a triangle.

"Isosceles" just means that 2 of the 3 angles are equal. The problem here is that all three angles of a plane triangle must add up to 180 degrees. If two of them measure 90 degrees, then the third one must be 0 degrees. Most people would not call that a triangle. It's a "degenerate" triangle, because two sides coincide exactly, and the third side has a zero length.

If we want to bend the rules a little bit, we could allow the degenerate figure to be called a triangle. Then the answer becomes "yes".

Another way to bend the rules would be to consider spherical triangles. These are triangles drawn on the surface of a sphere. Then you can have two right angles in a triangle. Picture a globe. Put one vertex at the north pole, and another vertex at 0 deg. latitude and 0 deg. longitude (on the equator). Put the remaining vertex at 0 deg. latitude and 10 deg. longitude (also on the equator). That spherical triangle has two right angles, and one 10 degree angle.

Answer 3

No. It is impossible for any triangle to have two right angles. Just try drawing that! Also, the sum of the three angles in a triangle is 180 degrees, so if you use all 180 for two angles, you can't have a third!

Answer 4

No. The total number of degrees of all three angles in any triangle is 180. Two right angles, 90 degrees each, would add up to 180, leaving zero degrees for the third angle; an impossibility.

If you had three lines forming two right angles, two of the lines would be parallel and would never meet.

Answer 5

No triangle can have two right angles. Picture a line. That's the base of your triangle. Now there are two other lines coming off of that line--the legs of the triangle. Suppose that these two lines both intersect the base at a 90 degree angle. Then the two legs are parallel. But if they are parallel, then they never meet, so the triangle has no point!

Answer 6

Because two right angles would equal 180 degrees, 180 is the total number of degrees within the three angles of a triangle.

Come on, just look and think about it, you'd get it.

Answer 7

no because the triangle has to equal 180 degrees and two right angles do equal 180 degrees so then you would have to make a square because the top would be open and would make it not a polygon and a triangle is a polygon so it would change the triangle into an organic figure

Answer 8

as for this reason of the my pal JB, who has starred the question, I had a guess to examine it. you have already an marvelous answer by employing Dragan above, yet i assume he has been lots in a rush to respond to to no longer be conscious as we communicate the least confusing of all - connecting the middle of the CIRCUMSCRIBED circle with the vertexes, the job is achieved. or you have had something different in concepts asking the question? P.S. Agree, that's the least confusing for an acute triangle (this way that's a series union of three isosceles), for a precise triangle the median to the hypotenuse dissects it into 2 isosceles, now take an obtuse one. The altitude to the longest area consistently dissects it into 2 precise triangles (that's real for acute and precise triangles additionally), each of them in accordance the above could properly be dissected into 2 isosceles, subsequently each triangle (my fault, sorry, I had forgotten those 2 words - thank you Dragan and JB for pointing it out!) could properly be dissected into 4 isosceles triangles. in addition to, i'm very almost confident there are obtuse scalene triangles that isn't be in a position to be dissected into below 4 isosceles, yet have not concept the main factors no longer being specific is that this the question.

Answer 9

NO!!!If it had 2 right triangles, then it wouldnt be a triangle,it would be a square.remember scalene-no equal sides.
isoceles-2 sides equal. equalateral-all sides equal.all the angles equal 180 degrees.

Answer 10

if you draw a line from the top (the middle of the vertex, angle bisector) angle to the middle of line across from it you get 2 right triangle, 2 right angles.