describe event w/ prob. 1/12; find poss. area of triangle;

[Snicho]

1. Describe a problem for which the probability of an event occurring is 1 over 12

2. The perimeter of a right angled triangle is 100cm, what could be the area.

3. Suppose that one of the angles of a triangle is exactly twice the size of another angle of the triangle. Show that any such triangle can be dissected, by a single straight cut, into two triangles, one of which is isosceles, the other which is similar to the original.

Any Help Please?

 

[tkhunny]

Re: Maths Assignment Advanced, Help Me!

Show your work.

1) Birth Month? Not quite, but close.

2) It's a right triangle. Find one with a perimeter of 100 cm and caculate the area. You should know these ratios: 3:4:5 - 5:12:13 - 1:1:sqrt(2) - 1:sqrt{3}:2 - and maybe some others. Now what?

3) Construct it. One angle is xº. Another is (2x)º. The third angle is 180º - (3x)º. Bisect the 2x angle and note that (2x)/x = x, which will match the other x-angle not bisected. That should lead to isosceles. Then what?

Let's see what you get.