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given triangle ABC find the values of x and y. In your final answer, include all of your calculations.​

given triangle ABC find the values of x and y. In your final answer, include all of-example-1

1 Answer

1 vote

Answer:

Explanation:

X = ?

y = ?

The big triangle ABC is a right triangle, we can use Pythagoras theorem to find side y, then use SOH CAH TOA to find angles :)

also, there is a special rule for a triangle set up like this one

2CD = BD

for this triangle then,

2CD = 9

CD = 4.5

X = 13.5

now use Pythagoras to find y


13.5^(2) =
6^(2) +
y^(2)

182.25 -36 =
y^(2)


√(146.25) = y

12.093386 = y

now that you have all 3 sides of the big triangle, use which ever trig function you are most comfy with to find angle B or C, i'll find C

CAH = Cos(C) = Adj / Hyp

Cos(C) = 6 / 13.5

arcCos(Cos(C)) = arcCos(6/13.5)

C = 63.6122°

now find B

180 = 90 + 63.6122 + B

26.3877° = B

got it?

User James Aylett
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