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What is the length of the altitude from vertex A to side BC in triangle ABC, whe

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Question: What is the length of the altitude from vertex A to side BC in triangle ABC, where AB = 10 cm, AC = 6 cm, and angle A = 90 degrees? (2023)

Options:

  1. 6 cm
  2. 8 cm
  3. 10 cm
  4. 12 cm

Correct Answer: 6 cm

Exam Year: 2023

Solution: 

In a right triangle, the altitude from the right angle to the hypotenuse is equal to the length of the other side. Thus, the altitude is 6 cm.

What is the length of the altitude from vertex A to side BC in triangle ABC, whe

Practice Questions

Q1
What is the length of the altitude from vertex A to side BC in triangle ABC, where AB = 10 cm, AC = 6 cm, and angle A = 90 degrees? (2023)
  1. 6 cm
  2. 8 cm
  3. 10 cm
  4. 12 cm

Questions & Step-by-Step Solutions

What is the length of the altitude from vertex A to side BC in triangle ABC, where AB = 10 cm, AC = 6 cm, and angle A = 90 degrees? (2023)
  • Step 1: Identify the triangle type. Triangle ABC is a right triangle because angle A is 90 degrees.
  • Step 2: Recognize the sides of the triangle. Here, AB = 10 cm (one leg), AC = 6 cm (the other leg), and BC is the hypotenuse.
  • Step 3: Understand the concept of altitude in a right triangle. The altitude from the right angle (vertex A) to the hypotenuse (side BC) is equal to the length of the other leg (AC).
  • Step 4: Conclude that the length of the altitude from vertex A to side BC is equal to the length of side AC, which is 6 cm.
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