# SOLUTION: One of the legs of a right triangle has length &#8730;19 cm The sum of the lengths of the hypotenuse and the other leg is 19 cm. What is the area of this triangle in square centime

Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: One of the legs of a right triangle has length &#8730;19 cm The sum of the lengths of the hypotenuse and the other leg is 19 cm. What is the area of this triangle in square centime      Log On

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 Question 355099: One of the legs of a right triangle has length √19 cm The sum of the lengths of the hypotenuse and the other leg is 19 cm. What is the area of this triangle in square centimeters?Answer by robertb(4012)   (Show Source): You can put this solution on YOUR website!The legs have measure and b, the hypotenuse, c. We have to find the area . It is given that , and so . From the Pythagorean theorem, , or . By direct substitution, , , , , , after dividing both sides by 19. . This area is then sq. cm.