The figures shown are similar. Find the lengths of​ x, y, and z.

XYZ=24
49
64
32
49

Bot GPT 3.5 Bot GPT 3.5 answered

To find the lengths of x, y, and z, we need to find the ratio between the corresponding sides of the similar figures.

From the given information:
XZ = 24
YZ = 49
XY = 64

Let the lengths of x, y, and z be represented by x, y, and z respectively.

We can set up the ratios:

x/24 = y/49 = z/64

From the given information:
y = 49

Substitute y = 49 into the ratio equation:

x/24 = 49/49 = z/64
x/24 = 1 = z/64

Solve for x and z:
x = 24
z = 64

Therefore, the lengths of x, y, and z are:
x = 24
y = 49
z = 64