QuestionA triangle with three equal sides is called: a. Right b. Scalene c. Equilateral d. Isosceles
Studdy Solution
STEP 1
Assumptions1. The triangle has3 congruent sides, meaning all sides of the triangle are of equal length.
STEP 2
We need to identify the type of triangle based on the given property.
STEP 3
A right triangle is a triangle in which one of the angles is a right angle (90 degrees). The property of having3 congruent sides does not necessarily imply that the triangle is a right triangle. So, option a is not correct.
STEP 4
A scalene triangle is a triangle in which all sides are of different lengths. Since our triangle has3 congruent sides, it cannot be a scalene triangle. So, option b is not correct.
STEP 5
An equilateral triangle is a triangle in which all three sides are of equal length. This matches the property of our triangle. So, option c is correct.
STEP 6
An isosceles triangle is a triangle in which at least two sides are of equal length. While our triangle does meet this condition, it is more specifically an equilateral triangle because all three sides are of equal length. So, option d is not correct.
The correct answer is c. Equilateral.
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