the question i am investigating is if it wasn't a right triangle will the angle change or will be the same. the way i am going to do this is to find more data and see the patterns of the data i have collected.
what i found is its the same thing angle b still decrease and angle c increase in a triangle that is not 90 degree. but what i think the angle will never change it's pattern. so the next question i will answer soon is if two of the side length is the same what will be the angles.
Monday, March 30, 2009
Friday, March 27, 2009
here are all the data i did in the investigation.
DATA 1:
Side 1 Side 2 Hypotenuse Angle B Angle C
1 1 1.41 45 45
1 2 2.24 27 63
1 3 3.16 18 72
1 4 4.12 14 76
1 5 5.10 11 79
1 6 6.10 9 81
1 7 7.10 8 82
DATA 2:
Side 1 Side 2 Hypotenuse Angle B Angle C
2 1 2.24 63 27
2 2 2.83 45 45
2 3 3.61 34 56
2 4 4.47 27 63
2 5 5.39 22 68
DATA 3:
Side 1 Side 2 Hypotenuse Angle B Angle C
1 2 2.24 63 27
1 4 4.12 14 76
1 6 6.10 9 81
1 8 8.10 7 83
1 10 10.04 6 84
DATA 1:
Side 1 Side 2 Hypotenuse Angle B Angle C
1 1 1.41 45 45
1 2 2.24 27 63
1 3 3.16 18 72
1 4 4.12 14 76
1 5 5.10 11 79
1 6 6.10 9 81
1 7 7.10 8 82
DATA 2:
Side 1 Side 2 Hypotenuse Angle B Angle C
2 1 2.24 63 27
2 2 2.83 45 45
2 3 3.61 34 56
2 4 4.47 27 63
2 5 5.39 22 68
DATA 3:
Side 1 Side 2 Hypotenuse Angle B Angle C
1 2 2.24 63 27
1 4 4.12 14 76
1 6 6.10 9 81
1 8 8.10 7 83
1 10 10.04 6 84
Monday, March 23, 2009
if you know the side length of a right triangle how will you know the angles? This is the investigation which i will be solving now. okay. i hope you already know that to find the side in a right triangle which you have to use the Pythagorean Therom, the equation of that is a2+b2=c2. side a is the short leg and side b is the long leg. Also side c is the hypotenuse of the traingle.
now that you know how to find side of the of the triangle. but the real question is to find the angles of the right triangle when you know the side. it's not easy to find it but you already know that one of the angle is always 90 degree so we already find one of the angles. but what about the other two angles? well, if you keep the 90 degree and one of the side the same and change other side how will the angles change. for example side one is one and it will always be the same length. but in side two it will always change like one centimeter and two centimeter and three and so on and so forth. in that data the hypotenuse is getting bigger and bigger. so in angle b it's getting smaller and in angle c it's getting so big each time the the side change.
so the answer of this investigation is that each time the side change in a right triangle the angle a will always be 90 but angle b will become smaller and angle c will become bigger .
now that you know how to find side of the of the triangle. but the real question is to find the angles of the right triangle when you know the side. it's not easy to find it but you already know that one of the angle is always 90 degree so we already find one of the angles. but what about the other two angles? well, if you keep the 90 degree and one of the side the same and change other side how will the angles change. for example side one is one and it will always be the same length. but in side two it will always change like one centimeter and two centimeter and three and so on and so forth. in that data the hypotenuse is getting bigger and bigger. so in angle b it's getting smaller and in angle c it's getting so big each time the the side change.
so the answer of this investigation is that each time the side change in a right triangle the angle a will always be 90 but angle b will become smaller and angle c will become bigger .
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