Triangle Geometry: Is it Possible to Have Two 90-Degree Angles in One Triangle?

Question

Can a triangle have two right angles?

Video Solution

Solution Steps

00:00 Determine whether a triangle can have 2 right angles?
00:04 Mark the triangle's angles as A,B,C
00:12 The sum of angles in a triangle equals 180
00:17 Substitute 2 angles of 90° (right angles)
00:29 Isolate the remaining angle C
00:35 It turns out it needs to be equal to 0
00:39 There's no such thing as a line with 0 angle, therefore it's impossible
00:43 That's the solution

Step-by-Step Solution

The sum of angles in a triangle is 180 degrees. Since two angles of 90 degrees equal 180, a triangle can never have two right angles.

Answer

No

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Related Subjects

The Sum of the Interior Angles of a Triangle The sides or edges of a triangle Triangle Height Exterior angles of a triangle Median in a triangle Center of a Triangle - The Centroid - The Intersection Point of Medians All terms in triangle calculation