Using The Technique In The Model Above , Find The Missing Sides In This 30 -60 - 90, Short = 7 Long=

Using the technique in the model above , find the missing sides in this 30 -60 - 90

Short = 7 Long=

 

Answer:

Long leg = 7√3  units

Step-by-step explanation:

In a 30° - 60° - 90° special right triangle, the measure of the hypotenuse is twice the short leg, and the measure of long leg is the product of short leg and √3.

As equation:

Hypotenuse = 2(short)

Long leg = (short)(√3)

Short  = hypotenuse/2

Short = Long/√3  or  (long√3)/3

Given:

Short = 7 units

Find Long leg:

Long leg = (short)(√3)

Long leg = 7√3  units

Find the hypotenuse:

Hypotenuse = 2(short)

Hypotenuse = 2(7)

Hypotenuse = 14 units


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