SOLUTION: a carpenter wants to build a diagonal brace for a gate that is 2mwide and 3 m high.Find the length of the brace to the nearest tenth of meter.

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Question 216505: a carpenter wants to build a diagonal brace for a gate that is 2mwide and 3 m high.Find the length of the brace to the nearest tenth of meter.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
A carpenter wants to build a diagonal brace for a gate that is 2 m wide and 3 m high. Find the length of the brace to the nearest tenth of meter.

Step 1. Use the Pythagorean Theorem: The sum of the square of the legs (2 and 3) is equal to the sum of the square of the hypotenuse d(or diagonal in this case).

Step 2. Then, 2%5E2%2B3%5E2=c%5E2 or 4%2B9=13=c%5E2

Step 3. Taking the square root to both sides of the equation yields c=sqrt%2813%29=3.61

Step 4. Each diagonal brace has a length of c=sqrt%2813%29=3.61 m.

I hope the above steps were helpful.

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http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J