+0

# In the figure below, AB=75, AC=70, and BY=60. Compute CX.

0
777
2
+59

Also, AY = 45, YC = 25, BC = 65

(angle AXC and BYC are right angles)

Nov 22, 2017
edited by LOL314jnl  Nov 22, 2017

#1
+637
+4

Since CX and BY are both heights of the triangle, we have two ways of finding the area of the triangle:

1) AB * CX ÷ 2

2) AC * BY ÷ 2

Since both of these are the area of the traingle, therefore the two values must be equal.

We know the values of AC, BY and AB.

70 * 60 = CX * 75

CX = 56

The trick with these types of problems is that when you see the height drawn out, try to find the area.

Sidenote: did you find the value of AY, YC, and BC by yourself, since it wasn't on the image, but it was typed out?

Nov 23, 2017
edited by supermanaccz  Nov 23, 2017

#1
+637
+4

Since CX and BY are both heights of the triangle, we have two ways of finding the area of the triangle:

1) AB * CX ÷ 2

2) AC * BY ÷ 2

Since both of these are the area of the traingle, therefore the two values must be equal.

We know the values of AC, BY and AB.

70 * 60 = CX * 75

CX = 56

The trick with these types of problems is that when you see the height drawn out, try to find the area.

Sidenote: did you find the value of AY, YC, and BC by yourself, since it wasn't on the image, but it was typed out?

supermanaccz Nov 23, 2017
edited by supermanaccz  Nov 23, 2017
#2
+97524
+1

Very nice Supermanaccz,

I would have answered it using similar triangles but your way is much easier

Melody  Nov 23, 2017