Question

question 10 of 10 is the following shape a right triangle? how do you know? a. no, the side lengths do not fit the pythagorean theorem. b. no, there is no right angle. c. yes, two sides are perpendicular, and the side lengths fit the pythagorean theorem. d. there is not enough information to determine.

Explanation:

Step1: Identify perpendicular sides

By observing the grid - like background, we can see that two sides of the triangle are perpendicular (form a 90 - degree angle).

Step2: Apply Pythagorean theorem

If we consider the lengths of the sides of the triangle formed by the grid units, we can count the number of units for each side. Let the lengths of the two legs be \(a\) and \(b\) and the hypotenuse be \(c\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\). If the side - length relationships satisfy this equation, it is a right - triangle. Since we have perpendicular sides and can verify the side - length relationship with the Pythagorean theorem, it is a right - triangle.

Answer:

C. Yes, two sides are perpendicular, and the side lengths fit the Pythagorean theorem.