If two triangles have equal perimeters, then they could also have which of the following? Select all that apply.
1 answer:
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Answer:
The amount of frequent flyer miles Adam will receive if he takes the connecting flight rather than the direct flight = 107.34 miles
Step-by-step explanation:
The sketch of Adam's journey from city B through C and then A is shown in the attached image to.this question.
Using Sine rule, we can obtain the unknown distances BC and CA
In sine rule notation,
BA = c = 456.2 miles
BC = a = ?
CA = b = ?
Angle A = 41.7°
Angle B = 30.9°
Angle C = 107.4°
Sin rule is that
[(Sin A)/a] = [(Sin B)/b] = [(Sin C)/c]
[(Sin A)/a] = [(Sin C)/c]
(Sin 41.7°)/a = (Sin 107.4°)/456.2
a = 456.2 × (Sin 41.7°) ÷ (Sin 107.4°)
a = 318.03 miles
[(Sin B)/b] = [(Sin C)/c]
(Sin 30.9°)/b = (Sin 107.4°)/456.2
b = 456.2 × (Sin 30.9°) ÷ (Sin 107.4°)
b = 245.51 miles
Hence,
BC = 318.03 miles
CA = 245.51 miles
Total flyer miles covered by taking the connecting flight = 318.03 + 245.51 = 563.54 miles.
The difference between the total miles covered by taking the connecting flight and by taking the direct flight = 563.54 - 456.2 = 107.34 miles.
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