If I have right angle triangle with a hypotenuse of 12meters and an angle of 60degrees what is the length
1 answer:
There are 2 basic trangles used in SAT,
45-45-90
30-60-90
if you look in the attachment you will know the relationship between each so
with a 30-60-90 triangle which you have
hypotonuse=2x
hypotonuse=12
2x=12
divide by 2
x=6
I'm not sure about the length, but I'm assuming you mean the longer side
the measure of each leg is 6 and 6 times√3
the lonnger one is 6√3
the answer is 6√3 meters
45-45-90
30-60-90
if you look in the attachment you will know the relationship between each so
with a 30-60-90 triangle which you have
hypotonuse=2x
hypotonuse=12
2x=12
divide by 2
x=6
I'm not sure about the length, but I'm assuming you mean the longer side
the measure of each leg is 6 and 6 times√3
the lonnger one is 6√3
the answer is 6√3 meters
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Answer:
Given the system of equation:
......[1]
......[2]
we can rewrite equation [2] as;
......[3]
Substitute equation [3] into [1] to eliminate x, and solve for y;
Using distributive property:
Combine like terms;
16 - 8y = -4
Add 4 to both sides we have;
20 - 8y = 0
Add 8y to both sides we have;
20 = 8y
Divide 8 to both sides we have;
Substitute the y-value in [3] we have;
x = 8 - 5 = 3
Therefore, the expression should be substituted into the first equation is, and also the value of x = 3 and y = 2.5