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In triangle DEF, if angle D = 45 degrees and angle E = 45 degrees, what is the t

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Question: In triangle DEF, if angle D = 45 degrees and angle E = 45 degrees, what is the type of triangle? (2020)

Options:

  1. Scalene
  2. Isosceles
  3. Equilateral
  4. Right

Correct Answer: Isosceles

Exam Year: 2020

Solution: 

Since two angles are equal (45 degrees), triangle DEF is an isosceles triangle.

In triangle DEF, if angle D = 45 degrees and angle E = 45 degrees, what is the t

Practice Questions

Q1
In triangle DEF, if angle D = 45 degrees and angle E = 45 degrees, what is the type of triangle? (2020)
  1. Scalene
  2. Isosceles
  3. Equilateral
  4. Right

Questions & Step-by-Step Solutions

In triangle DEF, if angle D = 45 degrees and angle E = 45 degrees, what is the type of triangle? (2020)
  • Step 1: Identify the angles given in triangle DEF. We have angle D = 45 degrees and angle E = 45 degrees.
  • Step 2: Recall the definition of an isosceles triangle. An isosceles triangle has at least two equal angles.
  • Step 3: Since angle D and angle E are both 45 degrees, they are equal.
  • Step 4: Conclude that triangle DEF has two equal angles, which means it is an isosceles triangle.
  • Triangle Classification – Understanding the properties of triangles based on their angles and sides, specifically identifying isosceles triangles.
  • Angle Sum Property – The sum of the angles in a triangle is always 180 degrees, which can help in determining the type of triangle.
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