Question

In need of some help <3

If ∆ABC~∆XYZ, area (∆ABC) : the area (∆XYZ) = 4:9, then AB:XY is...
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Answer 1

AB : XY = 2 : 3

Explanation:

We know that :

• area ∝ length²

So, if the areas ΔABC and ΔXYZ are in the ratio 4 : 9, then :

• ΔABC : ΔXYZ ∝ AB² : XY²
• 4 : 9 ∝ √4 : √9
• 4 : 9 ∝ 2 : 3