The area of a square ABCD is 260 m². If AC is diagonal, find the area of the triangle ABC.

Given,

Area of square = 260 m².

since AC is diagonal, we know that the diagonal divides the square into two congruent triangles.

Area of triangle ABC = $\frac{1}{2}$ x Area of square ABCD.

= $\frac{1}{2}\times 260$

= 130 m²

Therefore, the area of triangle ABC = 130 m².