Find the value of x if the area of the trapezoid is 54.
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Answer:
11
Step-by-step explanation:
area = (side a + side b)/2 times height
side a = (2 times (area ÷ height)) - side b
side a = (2 times (54+6)) - 7
side a = (2 times (9)) - 7
side a = 18 - 7
side a = 11
to get the hypotenuse of the triangle
11 - 7 = 4
base of the triangle is 2 (2 on either side)
pythagorean theorem
a squared + b squared = c squared
4 + 36 = 40
to get c or the hypotenuse
take the square root of 40