Question

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.

Answer 1

♫ - - - - - - - - - - - - - - - ~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 * cosA

Substitute the values in:

a^2 = 440^2 + 255^2 - 2(440)(255) * cos(57)

a^2 = 136408.0005

Square root it:

a = 369.334

CB = 369

4) a/sinA = b/sinB

As we are working out an angle, it would be this way:

sinA/a = sinB/b

Substitute the values in:

sin(57)/369 = sinB/255

sinB = sin(57)/369 x 255

sinB = 0.5795690917

B = 35.42024

It would be 35 degrees

5) Angles in a triangle total to 180 degrees

180 - (35 + 57) = 88

It would be 88 degrees

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡