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What is the value of a?

Round only your answer to the nearest tenth, if necessary.

a. 26.9 cm
b. 29.5 cm
c. 32.6 cm
d. 35.7 cm

What is the value of a Round only your answer to the nearest tenth if necessary a 269 cm b 295 cm c 326 cm d 357 cm class=

Respuesta :

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 = 
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!!!:)