Question

if triangle abc is equilateral bd/bc = 1/3, CE/CA=1/3 and AF/AB=1/3. find the ratio of the area of triangle abc to the shaded area

Answer 1

can you post the illustration?\[\LARGE{\ddot\smile}\]

Answer 2

give me a minute:)

Answer 3

number 18.

Answer 4

wait

Answer 5

whts the answer

Answer 6

@sammixboo can you help with this?

Answer 7

@Jhannybean

Answer 8

It's the area of the shaded region that i can't get

Answer 9

me too

Answer 10

\[\rm \frac{BD}{BC}=\frac{1}{3}~ , ~ \frac{CE}{CA}=\frac{1}{3}~,~\frac{AF}{AB}=\frac{1}{3}\]\[\text{Find ratio of}~~\frac{\triangle ABC}{\text{shaded region}}\]

Answer 11

Ok that's the question, now onto figuring it out.

Answer 12

@geerky42 @jim_thompson5910

Answer 13

@jackelyn_1234

Answer 14

@FibonacciChick666

Answer 15

ok, I'm gonna start by labelling everything I can

Answer 16

so, what do we know about equilateral triangles?

Answer 17

it has 3 congruent sides and angles
@FibonacciChick666

Answer 18

ok, so let's call the sides x the angles we can label too

Answer 19

screw that there is a thm we can use let me find it

Answer 20

i don't feel like deriving this

Answer 21

darn can't find it ok....

Answer 22

a piece of wire is shaped to enclose an equilateral triangle in which the area is 16squareroot of 3 cm(square). It is reshaped to enclose a rectangle whose length is 9cm. Find the area.

the ans. is 27. But can someone show me the right soltion?
@FibonacciChick666 @Jhannybean @shinalcantara

Answer 23

ok you have to have some theorem about the triangle created by the three medians in realtion to the sides, The guesser in me wants to say th ratio is 1/3 but I doubt that is right

Answer 24

http://www.sparknotes.com/math/geometry2/theorems/section2.rhtml