Question

Part 1: On your own paper, create a triangle having sides of different lengths. You do not have to measure the actual side lengths. Provide a description of your triangle including which segment is the longest and which is the shortest.

Part 2: Using the triangle created in Part 1, write the correct order of the measure of the angles from the greatest to the least.

Part 3: Justify your answer for Part 2.

Answer 1

this is a right angled triangle longest side the hypotenuse is AB
AC is shorter than AB and CB is the shortest side

Answer 2

angle C is 90 degrees
angle B is 60 AND angle A is 30 degrees

Answer 3

the sides are in ratio 2:sqrt3:: 1 - pythagoras theorem

Answer 4

is that the answer to part 2?

Answer 5

yes

Answer 6

thank you i really appreciate this!

Answer 7

- those sides are such that trig ratios of 60 and 30 degrees are formed by them

Answer 8

eg sin 30 = opp/hypotenuse = 1 /2

Answer 9

yw

Answer 10

0.0 you lost me at "those sides are such that trig ratios of 60 and 30 degrees are formed by them" i dont think that answers the question to part 2...

Answer 11

have you studied trigonometry

Answer 12

no yet

Answer 13

oh right - i'm not sure how to answer part 3 in another way

Answer 14

angle C is 90 degrees so the sum of A and B = 90 degrees (180 degrees ia a triangle)
also angle A will be less than angle B becuase the side opposite angle A is the smallest

Answer 15

you did not need to know that the angles were 60 and 30 just that B was greater than A

Answer 16

angle C = 90 is opposite the longest side AB

thats what they want in part 3 - fact that the size of the angles is related to size of sides opposite them