Question

Abc~xyz with ab=16 and xy=24 if the length of the median of the smaller triangle is 6in how long is the corresponding median of the larger triangle ? (show your work)

Answer 1

9 inches

Explanation:

Since the triangle are similar then the ratios of corresponding sides are equal

let x be the longer median, then

`(16)/(24)` =
`(6)/(x)` ( cross- multiply )

16x = 6 × 24 = 144 ( divide both sides by 16 )

x = 9