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Which of the following statements is never true? a. A right triangle is equilateral. b. A right triangle is isosceles. c. An acute triangle is equilateral. d. An acute triangle is isosceles.

Kristi Hammond

in Mathematics

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Craig Stewart on November 2, 2018

A. is Never true. The angles of an equilateral triangle are 60° each, for an equilateral triangle can never be a right triangle that has one angle of 90°.b.Possible. An isosceles triangle has angles of 45°, 45°, 90°.c.Possible. The angles of an equilateral triangle are 60° each, so that is always an acute triangle.d.Possible. For example, a triangle with angles of 70°, 70°, 40° - angles are less than 90°, so they are all sharp, and there are two angles with the same measure, so that the triangle is isosceles.The answer is A.


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