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If a right triangle has one leg that measures 12 cm, and a hypotenuse that measures 13 cm, how long is the other side?
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Use the Pythagorean Theorem \[a^2+b^2=c^2 \] One leg is 12 so put 12 for a and 13 is the hypotenuse so put 13 for c \[12^2+b^2=13^2\] What is \[12^2=?\\13^2=?\]
12^2 is 144 and 13^2 is 169
Correct \[144+b^2=169\] We have to isolate b. Subtract \[169-144\]
25 and sq rt of 25 is 5
Yes so the length is 5
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