A trapezoid has an area of 70 in.2. If the lengths of the bases are 6.7 in. And 7.3 in., what is the height?

Height = 10 in.

Step-by-step explanation:

Area of a trapezoid = ½(a + b)*h

Where,

a = 6.7 in.

b = 7.3 in.

h = height = ??

Area = 70 in.²

Plug in the values

70 = ½(6.7 + 7.3)*h

70*2 = 14h

140 = 14h

Divide both sides by 14

140/14 = h

h = 10 in.

160

step-by-step explanation:

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δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)