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

Can a triangle have two right angles?

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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 written solution

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1

Understand the problem

Can a triangle have two right angles?

2

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.

3

Final Answer

No

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Is the straight line in the figure the height of the triangle?

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