When completing this last blog i will use my previous data to answer these questions:

• What does this make you think about triangles?
• Have you discovered any more patterns?
• Do you think the chart and data helps with the investigation? and do i have anymore questions?

1. when looking at the data that i have collected, it shows me that when the two sides of the right triangle are increased by the same number, the angles increase but are still congruent to eachother. i also know that two triangles can have congruent angles even if they have different side lengths.

2. i have discoverd more patterns when looking at the data that i have collected. i noticed that when side AC stays at a measurement of 9 and side BC decreases in measure by 1, angle A is smaller than angle B. i also noticed that as side BC decreases, angle B increases. when both sides are congruent, the angles are going to be congruent as well. since it is a right triangle, the angles are going tobe more than 30 degrees and less than 90 degrees.

3. i do believe that the charts and data do help with the investigation. that is because i am able to see the side lenths and angles of the triangles. when i have the data i am able to look at it and see if i can find any specific patterns or changes. with out the data or chart i believe this investigation would have been harder.

Some questions that I have are:

• Why in the data, the angles are decimals when the sides are whole numbers??

When looking at the chart below, i found a pattern. When sides AC and BC are the same, the angles A and B are congruent. In the first graph, side AC stays at 9 and the side BC decreases by 1. Angle A decreases by at least 4 degrees while angle B increases by at least 4. When side AC stays at 9, and side BC decreases by an equal amout. When looking at the angles, they are all in the 40 degrees. i think you can predict the angles of triangles when you have the side lengths.