Question

classify the triangle as acute, right, or obtuse. also classify it as equilateral, isosceles, or scalene. is this triangle acute, right, or obtuse? right acute obtuse is this triangle equilateral, isosceles, or scalene? scalene equilateral isosceles

Explanation:

Step1: Recall angle - type definitions

An acute - angled triangle has all angles less than 90°. A right - angled triangle has one angle equal to 90°. An obtuse - angled triangle has one angle greater than 90°. Given two angles are 66° each. Let the third angle be \(x\). Using the angle - sum property of a triangle (\(x + 66^{\circ}+66^{\circ}=180^{\circ}\)), we find \(x = 180^{\circ}-(66^{\circ}+66^{\circ})=48^{\circ}\). Since all angles (\(66^{\circ},66^{\circ},48^{\circ}\)) are less than 90°, it is an acute triangle.

Step2: Recall side - type definitions

An equilateral triangle has all three sides equal. An isosceles triangle has two sides equal. A scalene triangle has all three sides different. The tick - marks on the sides of the triangle indicate that two sides are equal. So, it is an isosceles triangle.

Answer:

Is this triangle acute, right, or obtuse? B. Acute
Is this triangle equilateral, isosceles, or scalene? C. Isosceles