HYPOTENUSE
Definition Of Hypotenuse
Hypotenuse is the side opposite the right angle in a right triangle. It is the longest side of a right triangle.
Video Examples: Hypotenuse
Solved Example on Hypotenuse
Ques: If a = 3.9 and b = 5.2, find the measure of the hypotenuse in the right triangle.
Choices:
A. 16.5 units
B. 5.0 units
C. 8.5 units
D. 6.5 units
Correct Answer: A
Solution:
Step 1: From the figure, a = 3.9 and b = 5.2.
Step 2 :c2 = a2 + b2[Apply Pythagorean theorem.]
Step 3: c2 = 3.92 + 5.22 [Substitute for a and b.]
Step 4:c2 = 15.21 + 27.04 = 42.25
[Apply exponents and simplify.]
Step 5: 
[Take square root of both sides and simplify.]
Step 6: The measure of the hypotenuse, c = 6.5 units.
Quick Summary
- The hypotenuse is the longest side of a right triangle.
- It is opposite the right angle.
- Its length can be calculated using the Pythagorean theorem.
🍎 Teacher Insights
Use visual aids and real-world examples to illustrate the concept. Emphasize the relationship between the hypotenuse and the right angle. Provide practice problems with varying orientations of right triangles.🎓 Prerequisites
- Right Angle
- Triangle
- Pythagorean Theorem
- Square Root
Check Your Knowledge
Q1: Which side is the hypotenuse in a right triangle?
Q2: If a=3 and b=4, what is the length of the hypotenuse?
Frequently Asked Questions
Q: How do I identify the hypotenuse?
A: The hypotenuse is always opposite the right angle, and it's the longest side.
Q: Can the hypotenuse be shorter than the other sides?
A: No, the hypotenuse is always the longest side in a right triangle.