Answer:
The answer to your question is 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Data
Proportion 1:2
Hypotenuse of the larger triangle = 20
length of the longer leg of the smaller triangle = ?
Process
1.- Remember the proportions of a 30- 60 - 90 triangle
hypotenuse = 2x
short leg = x
long leg = x[tex]\sqrt{3}[/tex]
2.- Use the previous information to find the lengths of the larger triangle
hypotenuse = 20 = 2x
short leg = x = 10
large leg = 10[tex]\sqrt{3}[/tex]
3.- Use the previous information to find the lengths of the smaller triangle
Proportion 1:2
hypotenuse = 10
short leg = x = 5
long leg = 5[tex]\sqrt{3}[/tex]
