The figures shown are similar. Find the lengths of x, y, and z.
XYZ=24
49
64
32
49
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