Question

In the figure below, the shaded region is a square of area 3, and △ABC is equilateral. What is the perimeter of △ABC?

Answer 1

so the side of square is √3. so add them all together and i should get 6√3, right?

Answer 2

am i right?

Answer 3

@lgbasallote

Answer 4

Yeah. It's right. I can't see anything wrong.

Answer 5

well, the problem is that it's not one of the multiple choices..

Answer 6

it's multiple choice question

Answer 7

Ohh Let me see.

Answer 8

What are the choices?

Answer 9

(A) 3√3
(B) 9√3
(C) 2 + √3
(D) 3 + 6√3
(E) 6 + 3√3

Answer 10

any idea?

Answer 11

wait a min... triangle i drew in square isnt equilateral, right?

Answer 12

Should be.

Answer 13

Because the legths of a square all all the same.

Answer 14

So the tringle is the same ASSUMING it cuts the square in half.

Answer 15

take a close look at this: notice that:\[\tan \theta = \frac{2x}{x} = 2 \rightarrow \theta = \tan^{-1}(2) = 63.434\]so it's NOT equilateral triangle... so how can i solve this problem?