If the lengths of the legs of a right triangle are equal, what type of triangle

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Question: If the lengths of the legs of a right triangle are equal, what type of triangle is it?

Options:

Correct Answer: Isosceles

Solution:

A right triangle with equal legs is an isosceles triangle.

If the lengths of the legs of a right triangle are equal, what type of triangle is it?

If the lengths of the legs of a right triangle are equal, what type of triangle is it?

Step 1: Understand what a right triangle is. A right triangle has one angle that is 90 degrees.
Step 2: Identify the legs of the triangle. The legs are the two sides that form the right angle.
Step 3: Note that the question states the lengths of the legs are equal. This means both legs are the same length.
Step 4: Recall the definition of an isosceles triangle. An isosceles triangle has at least two sides that are equal in length.
Step 5: Since the right triangle has two equal legs, it fits the definition of an isosceles triangle.
Step 6: Conclude that a right triangle with equal legs is specifically an isosceles triangle.