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George is afraid of falling off his roof, but he needs to measure to measure his roof so he can re-shingle it.

What is the measure of AB?​

George is afraid of falling off his roof, but he needs to measure to measure his roof-example-1
User Auburg
by
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1 Answer

3 votes

Answer: AB= 24 ft

Explanation:

Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (in this case CB ) and a and b are the other sides.

Replacing with the values given:

CB^2 = CA^2 + AB^2

25^2 = 7^2 + x^2

Where x is the value that we are searching for..

625= 49 + x^2

625 -49 = x^2

576 = x^2

√576 = x

24 = x

So, AB= 24 ft

Feel free to ask for more if needed or if you did not understand something.

User Gene Vayngrib
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