Question

AABC and AXYZ are similar. Find the missing side length.

Y
21
AA
3
6
4
Z
C X
28
(The triangles are not drawn to scale.)

Answer 1

42

Explanation:

it is stated that the triangle are similar so their side lengths must be proportional, we can use this to find the missing side length

AB/XY = BC/YZ write this with the side lengths

3/21 = 6/? cross multiply expressions

3? = 126 divide both sides by 3

? = 42