Question

Please Do not answer with anything irrelevant to this subject,Thank you.

In a right triangle, side a is 3 times as long as side b, and side c is 30 cm. Using the Pythagorean Theorem, what are the lengths of sides a and b? Round your answers to the nearest tenth.Hypotenuse is 30,A and B are not known but we know A is 3 times more than B.

Answer 1

• a = 3√10 ≈ 9.5
• b = 9√10 ≈ 28.5

Explanation:

We are given two relations we can use to find "a" and "b":

a = 3b

a² + b² = 30²

Substituting for "a", we have ...

(3b)² +b² = 900

10b² = 900

b² = 90

b = √90 = 3√10 ≈ 9.5

Then "a" is ...

a = 3b = 3(3√10) = 9√10 ≈ 28.5

The values of "a" and "b" are about 28.5 and 9.5, respectively.