iCoachMath
STEM Excellence Series: Empowering the Next Generation
ALTITUDE
Altitude
Definition Of Altitude
Altitude of a geometric figure is the shortest distance from its top (vertex) to its opposite side (base).
Examples of Altitude
Video Examples: How to Find Altitude in Geometry : Math Fundamentals
Solved Example on Altitude
Ques: Identify the altitude.
Choices:
A. AB
B. BC
C. GF
D. AH
Correct Answer: D
Solution:
Step 1: Altitude of geometric figure is the shortest distance from its top (vertex) to its opposite side (base).
Step 2: So, the altitude of the figure is AH.
Quick Summary
- Altitude is the perpendicular distance from a vertex to the opposite side (or its extension).
- Altitude represents the 'height' of the figure.
- Different shapes have different methods to calculate altitude.
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🍎 Teacher Insights
Use physical models to demonstrate altitude. Emphasize the importance of perpendicularity.🎓 Prerequisites
- Basic shapes
- Lines and segments
- Right angles
Check Your Knowledge
Q1: Which of the following best describes an altitude?
Q2: In a right triangle, which side(s) can also be an altitude?
Frequently Asked Questions
Q: Is the altitude always inside the figure?
A: No, in obtuse triangles, the altitude can be outside the triangle.
Q: Can a side of a triangle be its altitude?
A: Yes, in a right triangle, the two legs are also altitudes.