Question

If the measures of the angles of a triangle are in the ratio of 1:2:3, then the lengths of the sides are in the ratio of 1:2:3.
True
False

Answer 1

will definitely award medals

Answer 2

do you know the Law of Sines?

it says for sides a and b and opposite angles A and B:
\[ \frac{b}{\sin(B)}= \frac{a}{\sin(A)} \]

or, if we rearrange
\[ \frac{\sin(A)}{\sin(B)}= \frac{a}{b} \]

if the ratio of sides a/b is ½ then we have
\[ \frac{\sin(A)}{\sin(B)}= \frac{1}{2} \]

notice the ratio of angles A/B is not ½
it is the ratio of the sin(A) to sin(B) that is 1/2

Answer 3

so is it true or false

Answer 4

no i don't know th law od sines

Answer 5

did you read what I posted ? It tells you the answer if you think about it.

Answer 6

one reason to study math is to force people to think.

Answer 7

false right?

Answer 8

notice the ratio of angles A/B is not ½

the ratio of the angles is not the same as the ratio of the sides

Answer 9

so the answer is false

Answer 10

yes, it is false