A right angled trapezoid with a base angle of 60 ° has a top bottom length of 10 cm and a waist length perpendicular to the bottom of 10 cm. Make a triangle on one side of the upper bottom or waist perpendicular to the bottom so that the other side of the triangle is 15 cm long and the third vertex falls on the bottom. Please calculate the area of the triangle

A right angled trapezoid with a base angle of 60 ° has a top bottom length of 10 cm and a waist length perpendicular to the bottom of 10 cm. Make a triangle on one side of the upper bottom or waist perpendicular to the bottom so that the other side of the triangle is 15 cm long and the third vertex falls on the bottom. Please calculate the area of the triangle


① Taking AB as one side, when be = 15cm, ab = 10, the height of AB side is BC = 10  s △ Abe = 12 × 10 × 10 = 50cm2; ② when CF = 15cm, the height of ∫ d = 60 °, the height of ∫ trapezoid BC = 1033, ∫ CD = 10 + 1033. ∫ 3 & gt; 1.7, ∫ CD & gt; 15.61 & gt; 15, ∫ f points can fall on the bottom CD