Please help!! geometry question.
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Please help!! geometry question.

[From: ] [author: ] [Date: 11-11-27] [Hit: ]
Can I cut a diagonal brace from an 9 foot board to replace the brace of this8’ by 5’ gate?b. Show the justification for your answer.c. If the board is too long , how much too long?......
a. The diagonal brace is broken on the gate. Can I cut a diagonal brace from an 9 foot board to replace the brace of this 8’ by 5’ gate?
b. Show the justification for your answer.
c. If the board is too long , how much too long? If the board is too short, how much too short? Round answers to nearest tenth foot. Show work.

please answer these for me so i can study the answers so that i can learn how to do it please show me how you got the answers.

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A) no

B) Use the pythagorean theorem:

If the gate is 8 ft by 5 ft , then the diagonal would divide it into two right triangles, with the brace as the hypotenuse.

8^2+5^2= 64+25= 89

Sqr(89)= 9.43398.... or about 9.4 ft

The brace needs to be about 9.4 ft.

C) 9.4-9= .4 ft too short.

Hoping this helps!
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