MATH SOLVE

4 months ago

Q:
# WILL MARK BRAINLIEST GIVING 30 POINTS Directions: Answer all questions completely. Show all work and computation.Use the diagram below to answer the following questions.1. Can you use Pythagorean Theorem to find the missing side? Why or why not?2. Would you use Law of Sine or Law of Cosine to find the length of side CB? Explain your answer.3. Find the length of side CB. Show your work and round your answer to the nearest whole number.4. Find the measure of angle C. (Hint: use the other “Law”). Round your answer to the nearest whole degree. 5. What is the measure of angle B? Show your work and round your answer to the nearest whole degree.

Accepted Solution

A:

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫➷ 1) No, it isn't a right triangle. Pythagoras' theorem only works with right triangles. 2) Law of Cosine because there is a trapped angle (an angle between two sides). The Sine rule would not work for this as there isn't a pair of side and angle opposite one another. 3) a^2 = b^2 + c^2 - 2bc * cosASubstitute the values in:a^2 = 440^2 + 255^2 - 2(440)(255) * cos(57)a^2 = 136408.0005Square root it:a = 369.334CB = 3694) a/sinA = b/sinBAs we are working out an angle, it would be this way:sinA/a = sinB/bSubstitute the values in:sin(57)/369 = sinB/255sinB = sin(57)/369 x 255sinB = 0.5795690917B = 35.42024It would be 35 degrees5) Angles in a triangle total to 180 degrees180 - (35 + 57) = 88It would be 88 degrees✽➶ Hope This Helps You!➶ Good Luck (:➶ Have A Great Day ^-^↬ ʜᴀɴɴᴀʜ ♡