Question

a triangle has two angles with measures of 90 and 20 degrees joined by a side with a length of 12 centimeters. which figure represents this triangle? a: a right triangle with one angle 90°, one side 12, hypotenuse 20 b: a right triangle with one angle 90°, one angle 20°, hypotenuse 12 c: partially shown triangle

Explanation:

Step1: Identify given conditions

The triangle has a 90° angle, a 20° angle, and the side connecting these two angles is 12 cm. This side is adjacent to both angles, so it is the side between the 90° and 20° vertices.

Step2: Match to options

• Option A: The side between 90° and the other angle is 12, but the labeled non-adjacent side is 20, and the 20° angle is not marked.
• Option B: The side between the 90° and 20° angles is 12, which matches the given conditions.

Answer:

B. The triangle with a 90° angle, a 20° angle, and the side connecting them labeled 12