abc and xyz are similar. Ab,bc, and ac are 6 inches, 7 inches, and 9 inches. and xy is 8. What is xz
xz/xy = ac/ab
xz/8 = 9/6
xz = 12
To find the length of XZ, we can use the concept of similarity. When two triangles are similar, their corresponding sides are in proportion.
In this case, we know that ABC and XYZ are similar. Let's represent the length of XZ as 'x'.
The ratio of corresponding sides AB to XY can be written as AB/XY = BC/XZ.
Substituting the given values, we have:
6 inches / 8 inches = 7 inches / x
To find 'x', we can solve this proportion equation.
Cross-multiplying, we get:
6 inches * x = 8 inches * 7 inches
Simplifying further, we have:
6x = 56 inches^2
Dividing both sides by 6, we find:
x = 56 inches^2 / 6
Simplifying, we get:
x = 9.33 inches
Therefore, the length of XZ is approximately 9.33 inches.