SOLUTION: A rectangular block stands 12 inches tall with a diagonal measuring 13 inches. What is is the length of the base?
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-> SOLUTION: A rectangular block stands 12 inches tall with a diagonal measuring 13 inches. What is is the length of the base?
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Question 999740: A rectangular block stands 12 inches tall with a diagonal measuring 13 inches. What is is the length of the base? Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! A rectangle split diagonally gives you two right triangles.
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Pythagoras:
a^2+b^2= c^2 This is used to find the hypotenuse of the right triangle. Since we want the short side, let's divide both sides by b^2:
a^2= c^2/b^2 Now let's use our numbers:
a^2= 13^2/12^2
a^2= 169/144
a^2= 25 Take the square root on both sides:
a= 5 is the length of the base
