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2 years ago

17-19, deal with the ambiguous SSA. For each, find all possible solutions and sketch the triangle(s) in each case

Mathematics

1 answer:

Tatiana [17]2 years ago

8 0

The possible solutions using the Sine Law are given as follows:

Triangle A:
B = 50.26°

C = 79.74°

Triangle B:

B = 62.79°

C = 70.21°

The sine law asserts that the ratio of a triangle's side length to the sine of the opposing angle is the same for all three sides. The sine rule is another name for it.

<h3>What is the explanation for the above solution?</h3>

Triangle A

Given the sine law:
a/SinA = b/SinB

Hence

Sin B = (b/a) SinA

Sin B = 15/10 (Sin 50)

Sn B = (15/10) * 0.766

Sin B = 1.5 * 0.766

B = Sin⁻1 (1.14)

B = 50.26°

Hence, C =

180 - B - A

= 180 - 50.26 - 50

C = 79.74°

Solution B

Given the sine law:

a/SinA = b/SinB

Hence

Sin B = (b/a) SinA

Sin B = 2/1.6 (Sin 47)

Sn B = 1.25 * 0.73

Sin B = 0.9125

B = Sin⁻1 (0.9125)

B = 62.79°

Hence,

C = 180 - 62.79 - 47

C = 70.21°

Learn more about the Sine Law at;
brainly.com/question/12271113
#SPJ1

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