sandrajayy
sandrajayy sandrajayy
  • 17-05-2022
  • Mathematics
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Find the value of x if the area of the trapezoid is 54.

Find the value of x if the area of the trapezoid is 54 class=

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ashish4112119
ashish4112119 ashish4112119
  • 17-05-2022

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

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