Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.
AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.
Using the Pythagorean theorem a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
so a = 6 and c = 8
lets solve for b
6^2 + b^2 = 8^2
36 + b^2 = 64
b^2 = 64 - 36
b^2 = 28
b = sqrt(28)
b = 5.29
b = 5.3 yards
Regular is 2 and 5/40
Simplified is 2 and 1/8
[891/33=27] ratio of the two prism: hencesurface area of smaller prism is[153/27]=5.67cm
Change 2/4 to 1/2
<span><span>2x+<span>1/2</span>=189.5</span></span>
Subtract <span>1/2</span> from both sides(1/2 = .5)
2x=189
Divide both sides by <span>2</span>
2x/2 = x
189/2= 94.5
x=94.5
