In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what is the t

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Question: In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what is the type of triangle?

Options:

Correct Answer: Isosceles

Solution:

Since two angles are equal, triangle ABC is isosceles.

In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what is the type of triangle?

In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what is the type of triangle?

Correct Answer: Isosceles Triangle

Step 1: Identify the angles given in triangle ABC. We have angle A = 45 degrees and angle B = 45 degrees.
Step 2: Recall that a triangle has three angles and the sum of all angles in a triangle is always 180 degrees.
Step 3: Calculate the third angle (angle C) using the formula: angle C = 180 degrees - (angle A + angle B).
Step 4: Substitute the values: angle C = 180 degrees - (45 degrees + 45 degrees) = 180 degrees - 90 degrees = 90 degrees.
Step 5: Now we have angle A = 45 degrees, angle B = 45 degrees, and angle C = 90 degrees.
Step 6: Since two angles (A and B) are equal, triangle ABC is classified as an isosceles triangle.

Triangle Properties – Understanding the properties of triangles, specifically that a triangle with two equal angles is isosceles.
Angle Sum Property – The sum of the angles in a triangle is always 180 degrees, which helps in identifying the type of triangle.