Problem

4 Circle the letter of each true statement below. a. An obtuse triangle does not have acute angles. b. A scalene triangle can be isosceles. c. Equilateral triangles are always acute. d. Isosceles triangles may also be equilateral. e. Right triangles are scalene or isosceles.

Solution

Step 1 :a. False: An obtuse triangle has one obtuse angle and two acute angles.

Step 2 :b. False: A scalene triangle has all sides of different lengths, while an isosceles triangle has at least two sides of equal length.

Step 3 :c. True: Equilateral triangles have all sides equal, and all angles measure \(60^\circ\), which are acute angles.

Step 4 :d. True: Isosceles triangles may be equilateral, as the requirement for an isosceles triangle is to have at least two sides equal.

Step 5 :e. True: Right triangles can be scalene (e.g. 3-4-5 triangle) or isosceles (e.g. \(1-1-\sqrt{2}\) triangle).

From Solvely APP
Source: https://solvelyapp.com/problems/10707/

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