The diagonal of the rectangle is 13 inches, and the side lengths of the triangles are Pythagorean triples. To the nearest tenth,
1 answer:
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Answer:
With the Babylonian method and
.
Step-by-step explanation:
- To find the square root of 600, do the following:
1. Make an initial guess: Because and
you can start with
as your initial guess.
2. Apply the formula:
where
The number is a better approximation to
3. Iterate until convergence:
For this apply the formula:
Convergence is achieved when the digits of and
agree to as many decimal places as you desire.
Because and
agree to six decimal places. we can say that an estimate for
.
You can compare with the value that WolframAlpha gives you which is you can see that it agrees to six decimal places.
- To find the square root of 235, do the following:
1. Make an initial guess: Because and
you can start with
as your initial guess.
2. Apply the formula:
where
3. Iterate until convergence:
Apply the formula:
Because and
agree to six decimal places. We can say that an estimate for
.
WolframAlpha gives you