[MEDAL & FAN] 4. what are the values of x & y?

Question

anonymous · Answer

attachment

jziggy · Answer

You have similar triangles, use the fact that similar triangle sides have the same ratio.

anonymous · Answer

@jziggy That doesnt help me

anonymous · Answer

@ckellar2

directrix · Answer

To get x, use this theorem:

Theorem: If the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the lengths of the segments of the hypotenuse.

directrix · Answer

4 is to 3 as 3 is to x

4/3 = 3/x
4x = 9
x = ?        @LetsLearn2000

directrix · Answer

Crank that out and we'll move on to y.

anonymous · Answer

x=2?

anonymous · Answer

Wait, we would divide both sides by 4x right?

anonymous · Answer

2.25

directrix · Answer

Yes, 9/4 or 2.25 for x.

anonymous · Answer

ok lets move to Y

directrix · Answer

To find y, use this theorem:

Theorem: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.

directrix · Answer

y is to x as x + 4 is to y

y is to 2.25 as 6.25 is to y

directrix · Answer

y/2.25 = 6.25/y

y^2 = 6.25  *  2.25

y = ?

anonymous · Answer

14.062 or 15/4

directrix · Answer

15/4 or 3.75

anonymous · Answer

oh wait i multiplied haha

anonymous · Answer

but do you mind helping with another??

directrix · Answer

In a new thread, I will try. Close this one and post the new question.