Question

How do I find the missing side of this similar triangle by using the are? Area for A is 17 mm^2 and B is 6800 mm^2

Answer 1

• x = 150
• y = 4

Explanation:

The ratio of areas of similar figures is the square of the scale factor. Then we have ...

larger/smaller = √(6800/17) = √400 = 20

The dimensions of the larger triangle are 20 times those of the smaller triangle.

x mm = 20(7.5 mm)

x = 150

__

20(y mm) = 80 mm

y = 4