Question

Hi! I was unsure of how to answer this question.....could i get some help?
Two angles of a triangle are 25 degrees and 40 degrees and the shortest side is 20 cm. Find the length of the longest side

Answer 1

well, the third angle is 180 - 25 - 40 = 115°

Use the sine law, and use the fact that the longest side is opposite the largest angle, and the smallest side is opposite the smallest angle
Make a sketch it will help to see that ....
x/sin 115 = 20/sin 25° , where x is the longest side
x = 20sin115/sin20 = ....

Answer 2

Thanks!!!