The circumference of an isosceles triangle is 40cm, the length of a waist is 12cm, and the height of the bottom is 10cm. What is the area of this triangle?

The circumference of an isosceles triangle is 40cm, the length of a waist is 12cm, and the height of the bottom is 10cm. What is the area of this triangle?


The bottom edge is: 36-10 × 2 = 16 cm
Area: 16 × 6 △ 2 = 48 square centimeter
The bottom edge is: 36-10 × 2 = 16 cm
Area: 16 × 6 △ 2 = 48 square centimeter
The circumference is 36 cm and the waist is 10 cm
So the bottom is: 36-10 × 2 = 16 cm
Triangle area = bottom × height △ 2
So area: 16 × 6 △ 2 = 48 square centimeter



If the height of one waist of an isosceles triangle is 10 cm and the angle between the height and the bottom is 45 degrees, then the area of the triangle is 10 cm______ .


∵ the angle between the height of one waist and the bottom of an isosceles triangle is 45 °, the other bottom angle is 90 ° - 45 ° = 45 ° and the vertex angle is 90 °, the height is the waist, and its length is 10cm. The area is 12 × 10 × 10 = 50cm2. So the answer is: 50cm2



The circumference of an isosceles trapezoid is 50cm, the waist and height are 10cm and 8cm respectively. What is the area of this trapezoid?


(50-10 × 2) × 8 / 2 = 30 × 8 / 2 = 240 / 2 = 120 (square centimeter) a: the area of this trapezoid is 120 square centimeter