Question

Two sides of a triangle each measure 8 inches.

Maria says the triangle must be isosceles. Is Maria correct? Explain.

A.
No; the third side could measure 9 inches or 7 inches, and the triangle would be scalene.

B.
Yes; an isosceles triangle has at least two sides that have equal measures.

C.
Yes; the third side could measure 9 inches, and the triangle would be equilateral.

D.
No; the third side of the triangle could be 8 inches, and the triangle would be acute.

Answer 1

B.) An isosceles triangle has at least two sides with equal measures.

Explanation:

There are two equal sides and two equal angles in an isosceles triangle. There should be at least 2 equal sides for an Isosceles triangle. This means, even an equilateral triangle is an Isosceles triangle. In this case, at least two equal sides are 8 inches each. This is why the correct answer is 'Yes; an isosceles triangle has at least two sides that have equal measures.'