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.

                                       

Solved Example on Hypotenuse

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:                                     [Apply Pythagorean theorem.]

Step 3:                                [Substitute for a and b.]

Step 4:  

[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.

Related Terms for Hypotenuse

• Right Triangle
• Right Angle

Additional Links for Hypotenuse

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