The length of the parallel sides of the trapezoid is 7cm and the 12th side
| September 16, 2021 | education
The length of the parallel sides of the trapezoid is 7cm and the 12th side, which is 6cm long, makes an angle of 30 ° with the base. Calculate the area of the trapezoid.
From the top B we draw the height BH to the base of the AD.
The ABH triangle is rectangular, in which the BAН angle is 30, then the BH leg lies opposite the angle 30, and therefore its length is half the length of the hypotenuse.
BH = AB / 2 = 6/2 = 3 cm.
Determine the area of the trapezoid.
Savsd = (BC + AD) * BH / 2 = (7 + 12) * 3/2 = 19 * 3/2 = 28.5 cm2.
Answer: The area of the trapezoid is 28.5 cm2.
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