Answer:
The answer is 144
Step-by-step explanation:
You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
Answer:
Step-by-step explanation:
I hope this helps
Answer: 331.5 inches²
Step-by-step explanation:
To solve for the area of a regular octagon, we can use the formula that is shown below:
Area = 1/2 × apothem × perimeter
In this problem, we have been given the following values:
Apothem = 10 inches
Perimeter = 66.3 inches
To solve for the area,
Area = 1/2 × apothem × perimeter
Area = 1/2 × 10 × 66.3
Area = 331.5 inches²
