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2 years ago

16. What are the values of a and b?

Mathematics

1 answer:

MrMuchimi2 years ago

4 0

Answer:

a = 20; b = 2√101

Step-by-step explanation:

The triangle at upper left and the one at lower right are similar. Ratios of corresponding sides are equal, so ...

200/a = a/2

400 = a^2

√400 = 20 = a

Then, by the Pythagorean theorem, the value of b can be found:

b = √(a^2 + 2^2) = √(400 +4) = √4·√101

b = 2√101

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