As shown in the figure, in the square ABCD with side length of 12 cm, the isosceles triangle PAB with waist length of 10 cm is made with ab as the bottom edge. Then the area of the triangle PAC is equal to______ Square centimeter

As shown in the figure, in the square ABCD with side length of 12 cm, the isosceles triangle PAB with waist length of 10 cm is made with ab as the bottom edge. Then the area of the triangle PAC is equal to______ Square centimeter

Because 102 - (12 △ 2) 2 = 64, the length of PG is 8 cm, pH = CF = de = 12-8 = 4 cm, and because 102-82 = 36, the length of PE is 6 cm, so the area of triangular DPC is 12 × 4 △ 2 = 24 (square cm), and the area of triangular DPA is 12 × 6 △ 2 = 36 (square cm)