Question

question 3 of 10
classify the following triangle as acute, obtuse, or right.
a. obtuse
b. right
c. acute
d. none of these

Explanation:

Step1: Recall the sum of triangle angles

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate the third angle

Let the third angle be \(x\). Then \(x = 180-(51 + 76+51)\). First, \(51+76 + 51=178\), so \(x=180 - 178= 53^{\circ}\).

Step3: Classify the triangle

An acute triangle has all angles less than \(90^{\circ}\). Since \(51^{\circ}<90^{\circ}\), \(76^{\circ}<90^{\circ}\), and \(53^{\circ}<90^{\circ}\), the triangle is acute.

Answer:

C. Acute