If you have
2 KNOWN sides & 1 Angle ;
Use Cosine Rule
If you have 3 KNOWN sides,
Also Cosine Rule
If you have
2 KNOWN angles & 1 side,
Use SINE rule
If it's a right-angled triangle, use SOH CAH TOA
Hopefully this helps
3 feet by 5 feet is the original figure.
We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle
We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle
The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.
The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5
The 6 feet by 10 feet falls into the category of Similar because 6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.
The 3 feet by 5 feet falls into the category of Similar because it is the same exact figure just rotated!
Slope is always the one with a x