Find the missing variable for a parallelogram:
2 answers:
Answer:
The missing variable for a parallelogram:
height (h) ≈ 7.35 in or
height(h) ≈ 18.67 cm
Explanation:
Area of parallelogram is base times the height.
i.,e where A is the area , b is the base and h is the height of the parallelogram respectively.
Given: Area (A) = 25 square in. and breadth(b) = 3.4 in.
To find the height:
Apply parallelogram;
Substitute the value of A and b in above formula;
Divide by 3.4 to both sides;
Simplify:
7.35294118 in = h
or
h ≈ 7.35 in.
To find height in cm
Use 1 in = 2.54 cm
then, h =18.6764 ≈18.67 cm
Therefore, the height in inches is 7.35 in. (approx)
or the height in cm is; 18.67 cm (approx)
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The exact measure of the angle is 45°.
<h3>How to get the angle?</h3>
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
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