Geometric Classification: Is This Triangle a Right Triangle?

Question

Is the triangle in the drawing a right triangle?

Video Solution

Solution Steps

00:03 Let's find out if this triangle has a right angle.
00:11 Draw lines forming right angles from each side.
00:16 Notice how one angle is more than ninety degrees. That's an obtuse angle.
00:24 The other angles are less than ninety degrees, which are called acute angles.
00:35 So, this triangle is an obtuse triangle.
00:41 And that's our solution!

Step-by-Step Solution

To determine if the triangle given in the drawing is a right triangle, we would ideally look for the presence of a 9090^\circ angle or verify the side lengths meet the Pythagorean Theorem condition (a2+b2=c2a^2 + b^2 = c^2). However, as no explicit measurements for sides or angles are provided, the decision relies on visual inspection of the drawn figure.

Since no side lengths or angle measures are present to apply the Pythagorean Theorem or check for a right angle directly, we are left with the visual context. Typically, if the visual context were sufficiently obviously perpendicular or labeled as such, it would be noted. Given no such indication from the current problem setup and traditional instructional understanding, the depicted triangle cannot be conclusively determined to possess a right angle.

Hence, based on the information—or lack thereof—the triangle should not be considered a right triangle without explicit numerical or measurement evidence.

The answer to the question "Is the triangle in the drawing a right triangle?" is No.

Answer

No