Question

The area of triangle A is 108 and triangle B is 300. What is the scale factor of A to B?

Answer 1

A : B

9 : 25

Explanation:

A : B

108 : 300

divide each side by 6

18 : 50

divide each side by 2

9 : 25

Answer 2

1
`(2)/(3)`

Explanation:

The area of Triangle A times the scale factor squared equals the area of Triangle B.

Let x = the scale factor

108
`x^(2)` = 300 Divide both sides by 108

`x^(2)` =
`(300)/(108)`

`\sqrt{x^(2) }` =
`\sqrt{(300)/(108) }`

x = 1.66666666667 I know this is 1 2/3

x = 1
`(2)/(3)`

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