Answer:
√13 ≈ 3.61
Step-by-step explanation:
The distance formula is applicable.
d = √((x2-x1)² +(y2-y1)²)
AD = √((0-2)² +(1-4)²) = √(4+9) = √13
AD ≈ 3.605513 ≈ 3.61
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The trapezoid is isosceles, so AD and BC are the same length, 3.61.
One of the angles of a right triangle is always 90 degrees. we have another 13.7 degrees angle. so we can find the other acute angle
the other acute angle measures 76.3
We can use the pythagorean theorem to solve this
The pythagorean theorem = a^2 + b^2 = c^2, while
a = one leg
b = the second leg
c = the hypotenuse
In this problem,
a = 3
b = 15
c = ?
Let's plug our values into the pythagorean theorem
(3)^2 + (15)^2 = c^2
9 + 225 = c^2
Add together the left side
234 = c^2
Take the sqrt of both sides
sqrt(234) = c
The length of BC = sqrt(234)
The answer is D, the number of cubic units would decrease.