Question

triangle ABC is equalateral. Find the height of side BD

Answer 1

you need to use trig. ratios. All of the angles in the equilateral triangle are 45 degrees.

Answer 2

ex. sin(A) = (BD)/(BA) where BD is the length of BD and BA is the length of BA

Answer 3

A = 45 degrees, so sin(45) = sqrt(2)/2

Answer 4

so what would our answer be?

Answer 5

it would depend on the length of the sides

Answer 6

4 sqrt (2)

Answer 7

This problem does not require trig ratios.

DC is 4

BD^2 + 4^2 = 8^2

BD = 4 times sqrt(3)

Answer 8

Also, the 3 angles of an equilateral triangle are 60 degrees. When working with the triangle BDC, and IF you had a trig problem (you don't need trig here), you would use 30-60-90 trig ratios.

But again, BD is gotten from the Pythagorean Theorem and is the answer from my first post.

Answer 9

so whats our answer

Answer 10

BD = 4 times sqrt(3)

Answer 11

And the reason that that is the answer:

[(4) times sqrt(3)]^2 + 4^2 = 8^2

(16)(3) + 16 = 64

Answer 12

You might like the way this looks a little better:\[4 \times \sqrt{3}\]and that is approximately:

6.928

Answer 13

Hope this is going good for you. Nice working with you again @katlin95

Answer 14

thanks!:)

Answer 15

You're very welcome!