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What is the length of the median from the vertex opposite the side of length 10

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Question: What is the length of the median from the vertex opposite the side of length 10 cm in a triangle with sides 10 cm, 10 cm, and 10 cm? (2023)

Options:

  1. 5 cm
  2. 10 cm
  3. 8 cm
  4. 7 cm

Correct Answer: 10 cm

Exam Year: 2023

Solution: 

In an equilateral triangle, the median is equal to the side length, so it is 10 cm.

What is the length of the median from the vertex opposite the side of length 10

Practice Questions

Q1
What is the length of the median from the vertex opposite the side of length 10 cm in a triangle with sides 10 cm, 10 cm, and 10 cm? (2023)
  1. 5 cm
  2. 10 cm
  3. 8 cm
  4. 7 cm

Questions & Step-by-Step Solutions

What is the length of the median from the vertex opposite the side of length 10 cm in a triangle with sides 10 cm, 10 cm, and 10 cm? (2023)
  • Step 1: Identify the type of triangle. The triangle has sides of 10 cm, 10 cm, and 10 cm, which means it is an equilateral triangle.
  • Step 2: Understand what a median is. A median in a triangle is a line segment that connects a vertex to the midpoint of the opposite side.
  • Step 3: In an equilateral triangle, all sides are equal, and all medians are also equal in length to the sides.
  • Step 4: Since the sides of the triangle are 10 cm, the length of the median from the vertex opposite the side of length 10 cm is also 10 cm.
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