Question

Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.

AD = 6
DB = 2
AC =

Answer 1

Hi @tabitha ! Welcome to QuestionCove :)

do you have any pictures for this problem?
you can attach one in a comment or draw it out with the buttons below

Answer 2

hi im new

Answer 3

Indeed and welcome :)

I don't know what your right triangle looks like
could you attach a picture or draw it for me using the buttons "Draw" or "Attach File" below?

Answer 4

They meant to tag @Angle :P

Answer 5

@AngeI yeah sorry

Answer 6

@Angle i have drawn it

Answer 7

using the fact that all angles in a triangle add up to 180 we can identify the missing angles in the two smaller triangles

Answer 8

now, treating the entire triangle as a giant 30-60-90 triangle you can use the side ratios:

side across from the 30 angle is x
side across from the 60 angle is x * (\sqrt{3}\)
side across from the 90 angle is 2x

since the side across from 2x is 8 you can solve for x and find the other two sides

Answer 9

to find CD you can apply a similar process to the smaller triangle on the right hand side