In triangle GHI, if angle G = 45 degrees and angle H = 45 degrees, what type of

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Question: In triangle GHI, if angle G = 45 degrees and angle H = 45 degrees, what type of triangle is it?

Options:

Correct Answer: Isosceles

Solution:

A triangle with two equal angles is an isosceles triangle.

In triangle GHI, if angle G = 45 degrees and angle H = 45 degrees, what type of triangle is it?

In triangle GHI, if angle G = 45 degrees and angle H = 45 degrees, what type of triangle is it?

Step 1: Identify the angles given in triangle GHI. We have angle G = 45 degrees and angle H = 45 degrees.
Step 2: Recall that a triangle has three angles that add up to 180 degrees.
Step 3: Calculate the third angle (angle I) by using the formula: angle I = 180 degrees - (angle G + angle H).
Step 4: Substitute the values: angle I = 180 degrees - (45 degrees + 45 degrees) = 180 degrees - 90 degrees = 90 degrees.
Step 5: Now we know the angles of triangle GHI: angle G = 45 degrees, angle H = 45 degrees, and angle I = 90 degrees.
Step 6: Since two angles (G and H) are equal, triangle GHI is classified as an isosceles triangle.

Triangle Classification – Triangles can be classified based on their angles (acute, right, obtuse) and sides (equilateral, isosceles, scalene). In this case, the triangle has two equal angles, indicating it is isosceles.
Angle Sum Property – The sum of the angles in any triangle is always 180 degrees. This property can help confirm the type of triangle based on the given angles.