Patricia has a lawn, ABCD. She has placed a watering hose, BD, as shown below.
Part A: Patricia plans to put a fence along the length AD of her lawn. What is the length of the fence required?
Part B: Using complete sentences, explain how you arrived at the answer for Part A.
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OpenStudy (anonymous):
OpenStudy (phi):
a fence along the length AD of her lawn. You need to find the length of AD.
OpenStudy (phi):
do you know about 30 60 90 triangles?
OpenStudy (anonymous):
Yes
OpenStudy (phi):
do you pythagorean theorem? use it to find BD
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OpenStudy (anonymous):
What do you mean how do we use that here?
OpenStudy (phi):
First find BD
OpenStudy (anonymous):
How?
OpenStudy (anonymous):
oh wait i see now!
OpenStudy (anonymous):
sorry the angle was confusing me
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OpenStudy (phi):
in a right triangle (one with a 90 angle) with sides a,b,c
where c (hypotenuse) is the longest side:
a^2+b^2= c^2
OpenStudy (anonymous):
c=34
OpenStudy (phi):
|dw:1330395834964:dw|
OpenStudy (phi):
so what do you know about 30-60-90 triangles? or do you know trig?
OpenStudy (anonymous):
In 30-60-90 triangle, the length of the hypotenuse is twice the length of the leg opposite the 30 degree
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OpenStudy (anonymous):
the leg opposite the 60 degree angle is sqrt3 as long as the leg opposite the 30 degree. That's pretty much all i know