A picture frame is in the shape of a square. Samatha tears the picture into two equal parts by the diagonal. if the side of the sqaure is 3 cm, and the angle between the diagonal it was torn by and one of its side is 60°, find the diagonal. (do not use pythagoras)

2√3

Step-by-step explanation:

You can draw a triangle where the diagonal is the hypotenuse x and the opposite is 3. Then you can use the sin() part of the SOHCAHTOA mnemonic.

sin = opposite / hypotenuse

In our case, it is:

sin 60° = 3/x or

x = 3/sin 60°

sin 60° is a common angle, you may know or find out that it is (1/2)√3.

So x = 3 / ((1/2)√3) = 2√3

oh yeah and I think Samantha is brutal.

Step-by-step explanation:

Use the right angle triangle with one angle 60, blue line as the opposite and diagonal as the hypotenuse.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis