Answer:
x=20 cm
Step-by-step explanation:
Let x be the length of equal sides.
Area of triangle=[tex]200cm^2[/tex]
We have to find the values of x.
We know that
Area of right triangle=[tex]\frac{1}{2}bh[/tex]
Where b=Base of triangle
h=Height of triangle
Using the formula
Area of right triangle=[tex]\frac{1}{2}x^2[/tex]
[tex]200=\frac{x^2}{2}[/tex]
[tex]x^2=200\times 2[/tex]
[tex]x^2=400[/tex]
[tex]x=\sqrt{400}[/tex]
[tex]x=20cm[/tex]
Hence, the value of x=20 cm