Find the measure of angle phi in degrees and the length of segment x in centimeters.

- anonymous

Find the measure of angle phi in degrees and the length of segment x in centimeters.

- katieb

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- Directrix

Diagram?

- anonymous

SRRY I HAV AM DRAWING IT

- anonymous

|dw:1327994270675:dw|

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## More answers

- Directrix

If the dashed segment is an altitude or an angle bisector of the equilateral triangle, the "mystery" angle has measure 30.

- anonymous

|dw:1327994428232:dw| HERES A BETTER PICTURE

- anonymous

theta is 30 degrees and x=7cm

- anonymous

CAN YOU PLEASE EXPLAIN HOW YOU CAME UP WITH THESE VALUES

- Directrix

What are you given about the dashed segment? Then, I can tell you.

- anonymous

Dividing an equilateral triangle in half leads to the next special triangle that we will look at. Consider the figure showing an equilateral triangle with a line dividing it down the middle. This line divides both the angle at the top of the triangle and the base of the triangle into two equal parts.

- Directrix

@ nath, how do you know that the equilateral triangle has been "halved?"

- anonymous

it was given with the question

- Directrix

@Cyno How do you know "since that angle is cut directly in half to ..?" Where is it given?

- anonymous

cos60=x/14
1/2=x/14
x=7
90+60+theta=180
theta=30

- anonymous

thank you

- Directrix

|dw:1327994931350:dw|

- anonymous

yw

- Directrix

Trig is not required. Use the 30-60-90 Theorem. b = 7 times square root 3.

- anonymous

for some reason that isnt the answer

- Directrix

@ Nath 7 times square root 3

- anonymous

x =7

- Directrix

7 times square root(3) = 12.1243557

- anonymous

i got that but the answer for x is x=7

- Directrix

x=7. 7times square root 3 is the length of the altitude (dashed segment on drawing which everyone but me knows intersects at a right angle :))

- anonymous

i still do not understand how x=7 still . after we found that the value is about 12 how do we go from 12 to 7

- anonymous

c=14
so c^2=14^2

- anonymous

so is this what you all mean b^2+ (7)^2=(14)^2

- anonymous

right but atjari said c=14 thats why im confused.. you said c^2=14

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