What is the value of a?

Mathematics

2 answers:

Elenna [48]3 years ago

8 0

I know that c is 68 because 180°=triangle by doing 50+62=112 then 180-112=68 then the base of the triangle is the same as the 31 cm so 31+31=62 that can give u a head start but i am not a high schooler but anyway HOPE IT HELPS!!!:)

Elan Coil [88]3 years ago

6 0

Note that the interior angles must add up to 180 degrees: 50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.

Use the Law of Sines to find the value of a, as follows:

sin 50 deg sin 62 deg
-------------- = ----------------
a 31 cm
31sin 50 31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
sin 62 0.883

a =

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