The area of an isosceles triangle with a waist length of 20 cm is 140 square cm. Take any point at the bottom, The length of the vertical line from this point to the two waists is a cm and B cm respectively?

The area of an isosceles triangle with a waist length of 20 cm is 140 square cm. Take any point at the bottom, The length of the vertical line from this point to the two waists is a cm and B cm respectively?


20cm



An isosceles triangle with an area of 30 square centimeters, one side is 10 cm, how many cm are the other two sides?
Classified discussion


According to the meaning of the question, an edge is 10cm, the area is 30, and the area of the triangle is s = half (the bottom multiplied by the height) = 1 / 2 (ah). Now there are two cases: first, let the known edge be 10, then the height is h = 6. According to the Pythagorean theorem, two right angled edges are equal to the hypotenuse (the hypotenuse is the waist we seek) = root sign 61. Answer: the other two edges are root sign 61
Second: let the waist be 10. According to the bisector of the vertex angle of an isosceles triangle, the middle line on the bottom edge and the height on the bottom edge coincide, so the height = radical 50, so the bottom edge is 2 radical 50. A: the bottom edge is 2 radical 50, and the other waist is 10



1. How to draw an isosceles triangle with a side of 2 cm and an area of 3 square cm?


1、 If the bottom is 2 cm and the height is set as h, then s = 1 / 2 × 2H = 3 and H = 3
1. B C = 2 cm,
2. Make the vertical bisector Mn of BC, and the perpendicular foot is d,
3. Da = 3 cm on DM,
If AC = AB, then Δ ABC is obtained
2、 If the waist is 2 cm, the height of the waist is 3 cm