chelseaq
chelseaq
04-06-2018
Mathematics
contestada
how do I do 8b(ii) ? Please help me thank you!
Respuesta :
jcherry99
jcherry99
04-06-2018
Step One
======
Find the length of FO (see below)
All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)
Step Two
======
Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ
Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.
FO^2 = FJ^2 + OJ^2
FO = sqrt(5) + sqrt(2)
FJ = 1/2 [(sqrt(5) + sqrt(2)] \
OJ = ??
[Sqrt(5) + sqrt(2)]^2 = [1/2(sqrt(5) + sqrt(2) ] ^2 + OJ^2
5 + 2 + 2*sqrt(10) = [1/4 (5 + 2 + 2*sqrt(10) + OJ^2
7 + 2sqrt(10) = 1/4 (7 + 2sqrt(10)) + OJ^2 Multiply through by 4
28 + 8* sqrt(10) = 7 + 2sqrt(10) + 4 OJ^2 Subtract 7 + 2sqrt From both sides
21 + 6 sqrt(10) = 4OJ^2 Divide both sides by 4
21/4 + 6/4* sqrt(10) = OJ^2
21/4 + 3/2 * sqrt(10) = OJ^2 Take the square root of both sides.
sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )
Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) )
<<<<<< answer.
Answer Link
VER TODAS LAS RESPUESTAS ( 41+ )
Otras preguntas
In a shelter 15% of the animals are puppies, 45% are cats, and the rest are adult dogs. Based on this information ,if there are 50 animals at the shelter how ma
Use given triangle to fill in the blank. PLEASE HELP ME!!!!!!!!!!!!
The vertices of Quadrilateral ABCD are located at (1, 4), (5, 0), (2, –3), and (–2, –2). Select the length that will be used in the calculation of its perimeter
The gym teacher of a large high school wants to estimate the mean number of pushups students at this school can do in one minute. He selects a random sample of
what the answer Juan has 12 muffins. he puts 1 forth of the muffins in a bag how many muffins does Juan put in the bag!
Please share your personal opinion about renewable energy sources. Be sure to include which one you feel is most worth investing our money in and why. Be sure t
Select the plants that produce seeds the same way. A: Flowering plants, such as the dandelion and coconut tree B: Flowering plants, such as the marigold and hib
What was life like at the concentration camps in Nazi Germany?.
PLEASE HELP WILL MARK BRAINLIEST Why dis the Mount Pinatubo eruption result in global temperatures dropping almost two degrees? PLEASE MAKE THE ANSWER SCHOOL AP
A truck rental company rents a truck for a one-time fee of $25 plus $1.50 per mile traveled. Kelly has $80 she can spend on the rental truck. Written as a fract
