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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