Question

What is the length of side AD?

69.28 cm

45.32 cm

81.96 cm

94.38 cm

Answer 1

@phi

Answer 2

@e.mccormick

Answer 3

@jdoe0001 no:( i dont understand

Answer 4

If you look at the picture there are 4, 30-60-90 triangles there. You can use the ratio rules for the sides of all 30-60-90 triangles to use the given side to find any and all sides.

Answer 5

????

Answer 6

@e.mccormick idk how to do this;/

Answer 7

Do you know the ratios of the sides of a 30-60-90 triangle?

Answer 8

no

Answer 9

http://www.regentsprep.org/Regents/math/algtrig/ATT2/Ltri30.htm

Answer 10

i still dont understand

Answer 11

would it be 94.38?

Answer 12

Well, nother way to look at it is this way:
http://upload.wikimedia.org/wikipedia/commons/4/45/30-60-90_triangle.jpg

In that pic, you have three sides with a variable. If you are given any side, you solve for a. Then you can find the other two. Now, if it is the short leg, it is easy. It is just a. If it is the hypotenuse, well, 2a=given, so divide by 2. If you are given the long leg it is set equal to \(a\sqrt{3}\) and solev for a, which is a little more work, but still gets you what you need.

Answer 13

but is it right?

Answer 14

@phi please help... would it be 94.38?

Answer 15

What calculaions did you do?

Answer 16

this one is complicated.
you need to find the length of AE and DE and then add them together

Answer 17

@e.mccormick for de i got 60.. but idk how to do ae

Answer 18

DE is not 60.

If you look at BCD you see a box there, for 90 degrees. There is also one at BEA, which means BED is also 90 degrees. A little more math and you find out BEDC is a rectangle. So that should tell you the length of BE. Once you have BE, use it to find EA.

Answer 19

??

Answer 20

how would you set it up

Answer 21

OK, so you are given that.