Question

the two shorter sides in a right triangle have the same length . the area of the right triangle is 7.36 square meters. what is the length of the hypotenuse

Answer 1

The length of the hypotenuse is 5.426 meter

Let the two shorter sides of the right angles triangle be denoted as x meters.

The formula for the area of right triangle is given as,

                     A = ab/2

  Where, a and b are the length of the shorter sides of the triangle

Also we have been given the area of the triangle which is 7.36 sq. meter

Thus ,    A = 7.36

             x^2/2 = 7.36

              x^2 = 14.72

                x = 3.84

Now according to the Pythagoras theorem,

   H = √P^2 + B^2

Where,  H = hypotenuse

               P = perpendicular

              B = base

Now putting the required values we get

    H = √x^2 + x^2

        = √2x^2

        = x√2

       = 5.426 meter

Hence the length of the hypotenuse is 5.426 meter

Learn more about area here : brainly.com/question/17335144

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