An iscosceles right angled triangle is shown

 " x = 4 " .

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Step-by-step explanation:

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The formula for the area of a triangle:

             Area, "A" = (1/2) * base * height;

          that is:   A = (1/2) * b * h ;

From our given problem and image/diagram:

    A = 200 cm² ;

          b = 5x ;

          h = 5x ;

We are asked to find the value for "x" ;

 A = (1/2) * b * h ;

Plug in our known values:

 200 cm² = (1/2) * 5x * 5x ;

Simplify:

 200 cm²  = (1/2)*(25x²) ;

 200 cm² = (12.5)x² ;

⇔  (12.5)x² = 200 cm² ;

Divide each side by:  " (12.5)" ;

     (12.5)x² / (12.5)  = (200 cm²)/(12.5) ;

to get:   x² = 16 ;

Take the positive square root of each side of the equation; to get the value for "x" ;

   ⁺ ⁺ ;

to get:

  x = 4 .

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Good luck to you in your academic endeavors!

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Answer : x = 4

Step-by-step explanation:

Area = 1/2 × base × height

Area= 200cm²

base = 5x

height = 5x

200cm² = 1/2 × base × height

200 = 1/2 × 5x × 5x

200 = 1/2 × 25x²

2( 200) = 25x²

400 = 25x²

16 = x²

4 = x