Question

question 3 of 10 what is the greatest number of acute angles that a right triangle can contain? a. 3 b. 0 c. 2 d. 1

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. A right - triangle has one angle equal to 90°.

Step2: Analyze the remaining angles

Let the three angles of the triangle be \(A\), \(B\), and \(C\) such that \(C = 90^{\circ}\). Then \(A + B+90^{\circ}=180^{\circ}\), so \(A + B=90^{\circ}\).
Since \(A + B = 90^{\circ}\), both \(A\) and \(B\) must be less than 90°. Angles less than 90° are acute angles. So a right - triangle can have 2 acute angles.

Answer:

C. 2