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Algebra 2 Glencoe CCSS Edition page 10 problem 55

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The legs of a right triangle measure 6 centimeters and 8 centimeters. Find the length of the hypotenuse.

asked Jul 31, 2015 in ALGEBRA 2 by anonymous

1 Answer

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Step:1

Pythagorean theorem states that,  If a triangle is a right triangle, then the sum of the squares of the lengths of the legs and b equals the square of the length of the hypotenuse c.

Draw the triangle:

Pythagorean theorem : .

                  (Substitute image)

                 (Evaluate powers: image)

                      (Add: )

                    (Take square root each side.)

                         (Square root: )

Solution:

The length of hypotenuse is 10 cm.

answered Aug 1, 2015 by friend Mentor
edited Aug 1, 2015 by bradely

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