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)
Practice Questions
1 question
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)
6 cm
8 cm
10 cm
12 cm
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.
Questions & Step-by-step Solutions
1 item
Q
Q: 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)
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.
Steps: 4
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.
