Write the contrapositive of the conditional statement. If a polygon is regular, then it has congruent angles and congruent sides
2 answers:
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[w + (h/tan θ)] × h
<h3>Further explanation</h3>We aim is to find the area of the trapezoidal cross-section of the irrigation canal.
The formula for the area of the trapezoid is
- a & b = parallel sides
- h = height
We assume the lower side is and the upper side is b = x + w + x or
. See the attached picture.
In the right triangles located on the left and right of the trapezoid, we calculate the value of x based on trigonometric ratios namely tan of theta.
Substitute the equation of x to
We get
Finally all components are complete and can be substituted into a formula to calculate the area of a trapezoid.
Hence, the area of the trapezoidal cross-section of the irrigation canal is
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Keywords: the trapezoidal, cross-section of the irrigation canal, the area, the answer will be in terms of h, w, and θ, trigonometric ratios, tan, opposite, adjacent, height, sides
