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Answer:
13. a = 6; b = 2
14. a = 3; b = 6
Explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
In ∆ABD, these are the ratios of sides ...
BD : AD : AB = 1 : √3 : 2
Since BD is given as 3√2, we can multiply these ratio values by that factor to get the actual side lengths:
BD : AD : AB = 3√2×1 : 3√2×√3 : 3√2×2
= 3√2 : 3√6 : 6√2
That is ...
13. AB = 6√2 ⇒ a=6, b=2
14: AD = 3√6 ⇒ a=3, b=6