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Ghella [55]
3 years ago
9

Find the height of a trapezoid if the bases have lengths of 6 and 17 and the area of the trapezoid is 46 square units.

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

4 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the bases

here A = 46, a = 6 and b = 17, hence

46 = \frac{1}{2} h(6 + 17) ( multiply both sides by 2 )

92 = h(23) ← divide both sides by 23 )

h = \frac{92}{23} = 4 units

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