Question

Given that the triangles are similar find the scale factor of ABC to ACD and the value of X.

SCALE FACTOR ABE TO ACD

Answer 1

Answer: Scale Factor:
`(7)/(4)` or 1.75

x= 24
`(1)/(2)` or 24.5

Explanation:

12+16=28

12+9=21

x=14(
`(7)/(4)`) =
`(98)/(4)`=24
`(2)/(4)`=24
`(1)/(2)`

x= 14(17.75)=24.5

ΔACD/ΔBE :
`(AD)/(AE)`=
`(21)/(12)`
`(/3)/(/3)`=
`(7)/(4)`

ΔACD/ΔBE:
`(AC)/(AB)`=
`(28)/(16)`
`(/4)/(/4)` =
`(7)/(4)`