Find the length of the median and the missing base. Be sure to show all your work. NO LINKS!!!
2 answers:
Answer:
YZ = 12, ML = 11
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
YZ =
4x - 16 = ( multiply both sides by 2 to clear the fraction )
8x - 32 = 10 + 2x ( subtract 2x from both sides )
6x - 32 = 10 ( add 32 to both sides )
6x = 42 ( divide both sides by 6 )
x = 7
Then
YZ = 4x - 16 = 4(7) - 16 = 28 - 16 = 12
ML = 2x - 3 = 2(7) - 3 = 14 - 3 = 11
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Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
