3 years ago

Can you help me figure these two problems out?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

9514 1404 393

Answer:

13. a = 6; b = 2

14. a = 3; b = 6

Step-by-step 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

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