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GenaCL600 [577]
3 years ago
9

For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x. Then find ang

le x to the nearest tenth.
68.3 by The Law of Cosines (SSS)

22.9 by The Law of Cosines (SAS)

10.7 by The Law of Sines (SAS)

8.8 by The Law of Sines (SSA)

Mathematics
1 answer:
Alika [10]3 years ago
6 0
For this case using the law of the sine we have the following mathematical relationship:
 x / sine (21) = 27 / sine (65)
 Clearing x we have:
 x = (27 / sine (65)) * (sine (21))
 x = 10.68 units
 Rounding off we have:
 x = 10.7 units
 Answer:
 
10.7 by The Law of Sines (SAS)
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Answer:

x = 9

Step-by-step explanation:

This shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°.  Given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached).  A 30-60-90 triangle is special because of the relationship of its sides.  The hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle.  The longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.

Since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:

2x = 18  or x = 9


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Step-by-step explanation:

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