One number is 8 times as large as another. Their difference is 21. What is the larger number?
2 answers:
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Answer:
Perimeter of ΔABC = 16.46 units
Step-by-step explanation:
By applying cosine rule (CAH) in the given triangle ADB,
cos(∠BAC) =
cos(55°) =
AB = 5.23 units
Since, ΔABC is an isosceles triangle
AB = BC = 5.23 units
AD = DC = 3 units [Perpendicular drawn from a vertex of an isosceles triangle is a perpendicular bisector of the opposite side]
Therefore, AC = AD + DC = 6 units
Now perimeter of ΔABC = AB + BC + AC
= 5.23 + 5.23 + 6
= 16.46 units