Question

is the following shape a right triangle? how do you know? a. there is not enough information to determine. b. no, the side lengths do not fit the pythagorean theorem. c. yes, two sides are perpendicular, and the side lengths fit the pythagorean theorem. d. no, there is no right angle.

Explanation:

Step1: Recall right - triangle criteria

A right - triangle has a 90 - degree angle. We can check for perpendicular sides (slope method) or Pythagorean theorem.

Step2: Analyze the options

Option A is incorrect as we can visually inspect and use geometric methods. Option B is wrong since we can analyze the shape. Option C is incorrect because we first need to check for perpendicular sides before considering the Pythagorean theorem. Option D is correct as without a right - angle, it is not a right - triangle.

Answer:

D. No, there is no right angle.