If the triangle is isosceles, that means its two legs are equal in length, so they are both 4. In a right triangle, the two legs are the base and the height.
The area of a triangle is equal to \(\frac{\mathrm{1} }{\mathrm{2} } bh\), so the area =\(\frac{\mathrm{1} }{\mathrm{2} } \times 4 \times 4 = 8\)\(cm^2\).