The longer leg of a 30°-60°-90° triangle measures inches. what is the length of the shorter leg?
a. 18 inches
b. inches
c. inches
d. 9 inches

D. 9

Step-by-step explanation:

The Pythagorean triple for a 30-60-90 right triangle is (x, x√3, 2x).  The side across from the 30° angle is x, the side across from the 60° angle is x√3, and the side across from the right angle is 2x (which is also the hypotenuse).  If the side across from the 60° angle is given as 9√3, we can set that equal to the identity for that leg:

9√3 = x√3 and solve for x.  Divide both sides by the √3 to get that x = 9

The correct answer is option D. 9

Step-by-step explanation:

Points to remember

It a right triangle with angles 30°, 60 and 90° the n the sides are in the ratio,

Shorter leg : longer leg : hypotenuse = 1 : √3 : 2

To find the length of shorter leg

Here it is given that, longer length = 9√3

We have,

Shorter leg : longer leg : hypotenuse = 1 : √3 : 2 =  Shorter leg : 9√3: hypotenuse

Therefore shorter leg = 9√3/√3 = 9

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

answer is : muchas/tipicas

have a nice day!

~recklesschicken