In a right triangle, if the lengths of the legs are equal, what is the measure o

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Question: In a right triangle, if the lengths of the legs are equal, what is the measure of the angles opposite those legs?

Options:

Correct Answer: 45 degrees

Solution:

In an isosceles right triangle, the angles opposite the equal legs are both 45 degrees.

In a right triangle, if the lengths of the legs are equal, what is the measure of the angles opposite those legs?

In a right triangle, if the lengths of the legs are equal, what is the measure of the angles opposite those legs?

Step 1: Understand that a right triangle has one angle that is 90 degrees.
Step 2: Recognize that if the lengths of the legs are equal, the triangle is called an isosceles right triangle.
Step 3: In an isosceles triangle, the angles opposite the equal sides are also equal.
Step 4: Since the total sum of angles in any triangle is 180 degrees, and one angle is 90 degrees, the remaining two angles must add up to 90 degrees.
Step 5: Divide the remaining 90 degrees equally between the two angles, which gives each angle a measure of 45 degrees.

Isosceles Right Triangle – In a right triangle with equal leg lengths, the triangle is isosceles, and the angles opposite the equal legs are both 45 degrees.
Triangle Angle Sum – The sum of the angles in any triangle is always 180 degrees, which is relevant in confirming the angles in a right triangle.