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

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DirectrixBest ResponseYou've already chosen the best response.0
If the dashed segment is an altitude or an angle bisector of the equilateral triangle, the "mystery" angle has measure 30.
 2 years ago

nathBest ResponseYou've already chosen the best response.0
dw:1327994428232:dw HERES A BETTER PICTURE
 2 years ago

atjariBest ResponseYou've already chosen the best response.1
theta is 30 degrees and x=7cm
 2 years ago

nathBest ResponseYou've already chosen the best response.0
CAN YOU PLEASE EXPLAIN HOW YOU CAME UP WITH THESE VALUES
 2 years ago

DirectrixBest ResponseYou've already chosen the best response.0
What are you given about the dashed segment? Then, I can tell you.
 2 years ago

nathBest ResponseYou've already chosen the best response.0
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.
 2 years ago

DirectrixBest ResponseYou've already chosen the best response.0
@ nath, how do you know that the equilateral triangle has been "halved?"
 2 years ago

nathBest ResponseYou've already chosen the best response.0
it was given with the question
 2 years ago

DirectrixBest ResponseYou've already chosen the best response.0
@Cyno How do you know "since that angle is cut directly in half to ..?" Where is it given?
 2 years ago

atjariBest ResponseYou've already chosen the best response.1
cos60=x/14 1/2=x/14 x=7 90+60+theta=180 theta=30
 2 years ago

DirectrixBest ResponseYou've already chosen the best response.0
dw:1327994931350:dw
 2 years ago

DirectrixBest ResponseYou've already chosen the best response.0
Trig is not required. Use the 306090 Theorem. b = 7 times square root 3.
 2 years ago

nathBest ResponseYou've already chosen the best response.0
for some reason that isnt the answer
 2 years ago

DirectrixBest ResponseYou've already chosen the best response.0
@ Nath 7 times square root 3
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DirectrixBest ResponseYou've already chosen the best response.0
7 times square root(3) = 12.1243557
 2 years ago

nathBest ResponseYou've already chosen the best response.0
i got that but the answer for x is x=7
 2 years ago

DirectrixBest ResponseYou've already chosen the best response.0
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 :))
 2 years ago

nathBest ResponseYou've already chosen the best response.0
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
 2 years ago

nathBest ResponseYou've already chosen the best response.0
so is this what you all mean b^2+ (7)^2=(14)^2
 2 years ago

nathBest ResponseYou've already chosen the best response.0
right but atjari said c=14 thats why im confused.. you said c^2=14
 2 years ago
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