To find the length of XY, we need to set up a proportion using the ratio of the sides of the two similar triangles:
AB/AX = AC/AY = BC/XY
Given that the ratio of the sides of the two triangles is 4:3, we can set up the following proportion:
24/AX = 32/XY
Now we can solve for XY:
24 * 3 = 32 * AX
72 = 32AX
AX = 72/32
AX = 2.25
Therefore, the length of XY is 2.25 times the length of BC:
XY = 2.25 * 24
XY = 54
Therefore, the length of XY is 54.
ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY?
triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C
XY = 18
XY = 32
XY = 6
XY = 8
1 answer
1 answer