The area of a kite is 116.25 ft2, one diagonal measures 18.6 ft, find the measure of the other diagonal.
6.25 ft
12.5 ft
3.125 ft
25 ft

The answer is 12.5 feet

Step-by-step explanation:

A kite is in the shape of a Rhombus.

The surface of a Rhombus is calculated using the following formula:

A is the surface and we know it's 116.25 ft2

p is one diagonal and we know it's 18.6 ft

q is the diagonal we do not know

So, we get:

we can then calculate

that is:

therefore the other diagonal q is:

q=232.50/18.6

q=12.5

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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)