Answer:
DE is 4 units long.
Step-by-step explanation:
These are the 30-60-90 triangle side relationships:
- Short leg × 2 = hypotenuse
- Short leg × √3 = long leg
- Long leg ÷ √3 = short leg
- Hypotenuse ÷ 2 = short leg
We are given the long leg and need to find the short leg. As seen above, the relation ship between those sides is:
[tex]S*\sqrt{3}=L[/tex]
or:
[tex]L \div \sqrt3 =S[/tex]
Given the long leg, divide it by √3 to find the short leg.
[tex]4\sqrt3 \div \sqrt3 = 4[/tex]
The short leg is 4 units long.
