Question

Find the length of the missing side of the triangle below. https://static.k12.com/eli/bb/259/4_25245/2_17293_3_25248/8b7911af6ff4046b03fa260fbecdad8100849773/media/e820732dc346f40000f5bacf183f7cb97174b7c1/mediaasset_774323_1.gif

116

117

188

119

Answer 1

What do you think? You can use Sine Law to solve this since this is a SAA triangle

Answer 2

You can solve using

\( \huge \frac{\sin 56}{100} = \frac{\sin 76}{x} \)

Answer 3

thank you

Answer 4

YW. I assume you got it?

Answer 5

yeah

Answer 6

Good Job!!!!

Answer 7

I will finish it out just for fun :-)

You can solve using

\( \huge \frac{\sin 56}{100} = \frac{\sin 76}{x} \)

\( \huge 100 * \frac{\sin 56}{100} = \frac{ \sin 76}{x} * 100\)

\( \huge \sin 56 = \frac{100sin 76}{x} \)

\( \huge x* \sin 56 = \frac{100\sin 76}{x} * x\)

\( \huge x* \sin 56 = 100\sin 76\)

\( \huge x\sin 56 = 100\sin 76\)

\( \huge \frac{x\sin 56}{\sin 56} = \frac{100\sin 76}{\sin56}\)

\( \huge x = \frac{100\sin 76}{\sin56}\)

\( \huge x = 117\)