Tuesday, April 7, 2009

5th blog [FINAL]

Alright everybody!today is the last and final blog i am making. so thank you for reading my blog and i hope you know all things we had learned.so for the final question i will be investigating is if two of the side length are double or triple what will be the angle and the pattern of the hypotenuse.
if you remember what happen in the last blog, like when the two side are the same what will be the angle. its the same thing but a little different and i will tell you why. so when the side length are double angle B is always 27 degree and angle C is always 63 degree and the hypotenuse goes by the square root of 5 and it will be a 27-68-90 triangle. When the side are triple angle B is always 18 degree and angle C is always 72 degree and the hypotenuse pattern goes by the square root of 10 and it will be a 18-72-90 triangle. the way i founded this investigation out is that i went on some sites about triangle and make my own triangle i did some data until i have a pattern which i did. then i wrote them down and make a table which you see below.

4.47
Side 1Side 2HypotenuseAngle BAngle c
242763
366.712763
488.942763
51011.182763
61213.422763


6.32
Side 1Side 2HypotenuseAngle BAngle c
261872
399.491872
41212.651872
51515.811872
61818.971872


i want to go up to the quadruplet table but i don't have much time to do that. so the angle b decrease and stay the same number even though the side doubled or triple or quadruplet and etc. and so will angle C and it will increase as much when the side is getting bigger.also the hypotenuse increase by the square root of 5 when the side get higher. so for the next question for you is if all the side length change into different measurement what will happen to the angle?

Wednesday, April 1, 2009

4th blog

Okay then!we already know that in a right triangle the angle a is 90 degree because it's a right angle. Also on angle b the angle decrease each time the side length change, and on angle c it increase each time triangle change too. Oh Yeah! we also talk about what was the angle if it wasn't a right triangle but it was the same pattern as the right triangle. so now we are going to talk about what will be the angle if the two side length are the same. do you think the pattern will be the same or will it change this time?
If you said its the same...you are...WRONG! well when the two side are the same the hypotenuse's size is bigger then the other two side by root of two and the two angle are the same, they are always 45 degree angle. so it is really a 45-45-90 triangle. Weird right! So if you don't believe me look at this.
1.41
Side 1Side 2HypotenuseAngle BAngle c
114545
222.834545
334.244545
445.664545
557.074545

There a clue I'm going to tell if you subtract two of the measurement in the hypotenuse row like 2.83-1.41 it equal to 1.42,and 1.42 or 1.41 also mean the same thing as root 2. so this prove that it is a 45-45-90 triangle when the side is the same length. so next investigation i will be doing is if two of the side side length are double of triple what will be the angles and hypotenuse?