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In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what type o

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Question: In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what type of triangle is DEF?

Options:

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

Correct Answer: Isosceles

Solution: 

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

In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what type o

Practice Questions

Q1
In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what type of triangle is DEF?
  1. Scalene
  2. Isosceles
  3. Equilateral
  4. Right-angled

Questions & Step-by-Step Solutions

In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what type of triangle is DEF?
  • 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 at least two equal angles, which means it is 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 angles and two equal sides.
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