Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle 
is similar to the triangle 
. Therefore the following relation must be true:
We know that side 
is equal to 8, side 
is equal to <em>b, </em>side 
is equal to 
, and side 
is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:
Use the KCF method to divide
3/6 / 5/2 = 3/6 x 2/5, which equals 1/5
Hope that helps :)
Answer:
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
A= 1038 in²....
Step-by-step explanation:
There are several ways to find the area of a regular hexagon
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
We will apply the formula of area of regular polygon:
A= 1/2r²nsin(360/n)
r = radius
n = number of sides of the regular polygon
We know that,
r= 20 in
n= 6
Now substitute the values in the formula:
A= 1/2(20)²(6)sin(360/6)
A= (20)²(3)sin(360/6)
A= (20)²(3)sin(60)
A=3*(20)² *√3/2
A= 1200 * √3/2
A= 600*√3
A= 1038 in²....
Therefore the approximate area of hexagon is 1038 in²....
