Question

Find the missing side length in the image attached.

Answer 1

Answer:

$\boxed{ 15}$

Step-by-step explanation:

→ We know that on the right side the length of the 2 sides is 18 and one of them is 10 so,

18 - 10 = 8cm is the length of the line above 10cm

→ Now we use scale factor enlargement, we can see that opposite 12 is 8 so the multiplier that was used to get from 12 to 8 is,

12 ÷ 8 = 1.5

→ Now we know the multiplier is 1.5 and we need to find the side opposite 10 so we multiply 1.5 by 10 to get,

1.5 × 10 = 15

Answer 2

Answer:  15

Step-by-step explanation:

Set up the proportion as follows:

$\dfrac{18}{10}=\dfrac{12+x}{x}\\\\\\18x=10(12+x)\\\\\\18x=120+10x\\\\\\8x=120\\\\\\x=\dfrac{120}{8}\\\\\\x=\large\boxed{15}$