Respuesta :
Given two diamonds with same shape but different sizes.
The side given of one diamond = 10 units.
And the corresponding side of the other diamond = 24 units.
To find the scale factor of them, we need to find the ratio of the sides.
So here scale factor = [tex] 10:24 [/tex] = [tex] \frac{10}{24} [/tex]
Now we have to simplify the fraction. We can simplify it by dividing the numerator and denominator by a common factor of it.
The common factor of 10 and 24 is 2. If we divide 10 by 2, we will get 5 and if we divide 24 by 2, we will get 12.
So we will get,
[tex] \frac{10}{24} = \frac{5}{12} [/tex]
We have got the required answer.
The scale factor is [tex] \frac{5}{12} [/tex].