SOLUTION: The triangle is 30-60-90 12ft base next to 60 degrees ( I wish I could attach an image) 1. Use special right triangles to help find the length of segment XY. What is the exac

Algebra ->  Triangles -> SOLUTION: The triangle is 30-60-90 12ft base next to 60 degrees ( I wish I could attach an image) 1. Use special right triangles to help find the length of segment XY. What is the exac      Log On


   

Question 1187126: The triangle is 30-60-90
12ft base next to 60 degrees ( I wish I could attach an image)
1. Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
2. What is the exact area of triangle XYZ? Leave your answer in radical terms. I came up with 6 square 3
3. What is the area of triangle XYZ to the nearest tenth of a square in? \( 1350^2 I think) I'm really trying to make sure but I'm confused


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

12ft base next to 60+degrees
1. Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?

the ratio b%3A+h+%3A+hypothenuse+is+1%3Asqrt%283%29%3A2
base=12ft
hyp=24ft
height=12sqrt%283%29ft-> your answer

2. What is the exact area of triangle XYZ? Leave your answer in radical terms.
area=+%281%2F2%29%2Abase%2Aheight
area=+%281%2F2%29%2A12ft%2A12sqrt%283%29+ft
area=+6%2A12sqrt%283%29+ft%5E2
area=+72sqrt%283%29+ft%5E2->the exact area

3. What is the area of triangle XYZ to the nearest tenth of a square in?
area=+72sqrt%283%29+ft%5E2 ..........multiply 72%2Asqrt%283%29
area=+72%281.7320508%29+ft%5E2
area=124.7ft%5E2