In triangle STU, if angle S = 45 degrees and angle T = 45 degrees, what is the t

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Question: In triangle STU, if angle S = 45 degrees and angle T = 45 degrees, what is the type of triangle STU?

Options:

Correct Answer: Isosceles

Solution:

Since two angles are equal, triangle STU is isosceles.

In triangle STU, if angle S = 45 degrees and angle T = 45 degrees, what is the type of triangle STU?

In triangle STU, if angle S = 45 degrees and angle T = 45 degrees, what is the type of triangle STU?

Step 1: Identify the angles given in triangle STU. We have angle S = 45 degrees and angle T = 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 U) by using the formula: angle U = 180 degrees - (angle S + angle T).
Step 4: Substitute the values: angle U = 180 degrees - (45 degrees + 45 degrees) = 180 degrees - 90 degrees = 90 degrees.
Step 5: Now we have all three angles: angle S = 45 degrees, angle T = 45 degrees, and angle U = 90 degrees.
Step 6: Since angle S and angle T are equal, triangle STU has two equal angles.
Step 7: A triangle with two equal angles is classified as an isosceles triangle.

Triangle Classification – Triangles can be classified based on their angles (acute, right, obtuse) and sides (equilateral, isosceles, scalene).
Isosceles Triangle Properties – An isosceles triangle has at least two equal sides and two equal angles.