SOLUTION: let S be the right triangle with sides of length 3,4, and 5 and let T be the right triangle with sides of length 6,7,and 10. suppose theta is the angle opposite the side of length

Algebra ->  Finance -> SOLUTION: let S be the right triangle with sides of length 3,4, and 5 and let T be the right triangle with sides of length 6,7,and 10. suppose theta is the angle opposite the side of length      Log On


   



Question 1165310: let S be the right triangle with sides of length 3,4, and 5 and let T be the right triangle with sides of length 6,7,and 10. suppose theta is the angle opposite the side of length 4 in S and p is the angle opposite the side of length 8 in T. Draw both of these triangles and compute sin of theta and sin of p. What do you notice? Why do you think this is true? Explain.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
hypotenuse is 5 in the first triangle and 10 in the second.
sin theta=4/5=0.8, and the angle is 53.1 deg
T is 6-8-10 apparently, and not 6-7-10
The sin of p is 8/10=0.8.
These are both similar triangles with one twice as big as the other in all sides with similar angles.
There are multiples of right triangles.