Question

In the diagram below, △FORi s an isosceles triangle and OR is parallel to AN.

Find the length of AN.

If entering your answer as a decimal, round your final answer to the nearest hundredth.

Answer 1

AN = 16.00

Explanation:

FR = 7.0 (this is because FR = FO = 7.0)

FN = 10.0

OR = 11.2

AN = ?

Based on similarity theorem, thus:

FN/FR = AN/OR

10.0/7.0 = AN/11.2

Cross multiply

10.0*11.2 = AN*7.0

112 = AN*7.0

Divide both sides by 7.0

112/7.0 = AN

16.00 = AN

AN = 16.00