The Shorter Leg Of A 30\Xb0-60\Xb0-90\Xb0 Triangle Measures 2 Inches. What Is The Length Of The Hypotenuse?

The shorter leg of a 30°-60°-90° triangle measures 2 inches. What is the length of the hypotenuse?

 

Answer:

The length of hypotenuse is 4 inches.

Step-by-step explanation:

Theorem:

In 30°-60°-90° special right triangle, the following are the measurements of the sides:

Shorter leg = (1/2)(hypotenuse)

Longer Leg = (shorter leg)(√3)

Hypotenuse = (2)(shorter leg)

Given:

Shorter leg: 2 inches

Find the length of hypotenuse:

Hypotenuse = 2(shorter leg)

Hypotenuse = 2(2 inches)

Hypotenuse = 4 inches


Comments

Post a Comment

Popular posts from this blog

You Are Buying 3 Shirts And 2 Pairs Of Pants. You Spend $300. Let X Represent, The Price Of The Shirt And Y Represent The Price Of The Pants. Write An

You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the price of the shirt and y represent the price of the pants. Write an equation that can be used to find the price of the shirts and pants. Directions: Write the equation in both slope-intercept and standard form for each of the scenarios below. a. Standard Form: b. Slope-Intercept Form: c. If the shirts cost $20 each how much were each of the pants? d. Using the Standard Form, identify the x-intercept of the graph and explain how the x-intercept relates to the price of the pants and shirts.   Answer: Price of shirt: x Price of pants: y Total Price: 300 A.) Standard Form Equation 3x + 2y = 300   B.) Slope-intercept Form: 2y = -3x + 300 y = (-3x + 300)/2 y = -3x/2  +  150 ⇒  Slope-intercept form equation Where: m = -3/2 y-intercept (b) = 150 C. If the shirts cost $20 each how much were each of the pants? Let x = 20: Find the unit cost (y) of pair of pants using the slope-intercept form
Read more