Need help with my homework ><

• Feb 25th 2006, 02:10 PM
Yumi
Need help with my homework ><
Hi,
I am stucked on a question on my homework. Here is the problem:
The diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. Find the dimensions of the rectangle.

What I dont get is , what is "dimension"? This is supposed to be about the "Special Right Triangle" (30-60-90) (45-45-90) Theorems.

Any help will be appreciated. Thank you!
• Feb 25th 2006, 03:08 PM
Yumi
Problem solved, get it now :D
Sorry for the trouble =x
• Feb 25th 2006, 03:08 PM
topsquark
Quote:

Originally Posted by Yumi
Hi,
I am stucked on a question on my homework. Here is the problem:
The diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. Find the dimensions of the rectangle.

What I dont get is , what is "dimension"? This is supposed to be about the "Special Right Triangle" (30-60-90) (45-45-90) Theorems.

Any help will be appreciated. Thank you!

The question is asking you "What are the length and width of the rectangle?" The sides of the rectangle are the hypotenuses of the types of triangles you are talking about.

-Dan
• Feb 25th 2006, 05:00 PM
ticbol
Quote:

Originally Posted by Yumi
Problem solved, get it now :D
Sorry for the trouble =x

Yeah? So what are the dimensions of the rectangle?
• Feb 25th 2006, 10:15 PM
Yumi
My answer is one side is 4, and the other side is 4 Square Root of 3 :D
(Not sure if its correct or not though)
Here will help it easier:
http://img113.imageshack.us/img113/6103/yay2ev.gif

The diagonal intersect at 60 degree, which is an equilateral triangle. Since it is an equilateral triangle which means all the 3 sides are the same length. The diagonal length is 8 units, the diagonal of rectangle bisects each other, which is 8/2=4 Thus one side is 4. So now we know one dimension of this rectangle, for the other side. Look at the bigger triangle.
(The blue outlined one)
http://img116.imageshack.us/img116/619/27og.gif

We can see a right angle, and a 60 degree angle, which automatically marks the other one 30 degree angle. So we can use the 30-60-90 Theorem, Since we know one side is 4 unites, the Hyp is 8 units, to find out the other leg, use the equation, Longer leg = Shorter leg x Square Root of 3. We already know the shorter leg is 4, thus 4 x Square Root of 3 = 4 Square Root of 3

:D

Once again, thank you for clear up the question for me =)))