High School

Thank you for visiting A flag is in the shape of a 30 60 90 triangle The shorter leg has a length of 10 inches What is the length. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

A flag is in the shape of a 30-60-90 triangle. The shorter leg has a length of 10 inches. What is the length of the hypotenuse?

A. 17.3 inches
B. 20 inches
C. 10 inches
D. 36.6 inches

Answer :

[tex] \frac{shorter leg}{hypotenuse}[/tex] = sin(30) = cos(60)

Luckily 30° and 60° are nice angles and [tex]sin(30) = cos(60) = \frac{1}{2} [/tex]

[tex] \frac{shorter leg}{hypotenuse} = \frac{1}{2} [/tex]

We can rearrange the equation to give

[tex]hypotenuse = 2(shorter leg)[/tex]
[tex]hypotenuse = 2(10)[/tex]

Hypotenuse = B, 20 inches

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Rewritten by : Jeany