In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the r

Practice Questions

Q1
In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the ratio of the sides opposite to these angles? (2021)
  1. 1:1
  2. 1:√2
  3. √2:1
  4. 2:1

Questions & Step-by-Step Solutions

In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the ratio of the sides opposite to these angles? (2021)
  • Step 1: Identify the triangle XYZ and the given angles. We have angle X = 45 degrees and angle Y = 45 degrees.
  • Step 2: Recognize that in triangle XYZ, since angle X and angle Y are both 45 degrees, this is an isosceles triangle.
  • Step 3: In an isosceles triangle, the sides opposite the equal angles are also equal.
  • Step 4: Since angle X and angle Y are both 45 degrees, the sides opposite these angles (let's call them side x and side y) are equal.
  • Step 5: Therefore, the ratio of the sides opposite to angles X and Y is 1:1.
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