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The area of a right triangle is 36 and the height is 4. What are the other sides

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mikerhyme | Student, Kindergarten | Salutatorian

Posted September 12, 2013 at 6:29 PM via web

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The area of a right triangle is 36 and the height is 4. What are the other sides

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 12, 2013 at 6:32 PM (Answer #1)

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The area of a right triangle with base b and height h is `(1/2)*b*h` .

As the height is given to be 4, `(1/2)*b*4 = 36`

=> `b = 18`

The hypotenuse is `sqrt( 18^2 + 4^2) = 2*sqrt 85` .

The length of the sides of the triangle is 18, 4 and `2*sqrt 85`

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