In an isosceles trapezium, the bisector drawn from the apex of an obtuse angle is parallel
| May 29, 2021 | education
In an isosceles trapezium, the bisector drawn from the apex of an obtuse angle is parallel to the lateral side Perimeter = 60 cm Lateral side = 14 cm Base-?
1. Vertices of the trapezoid A, B, C, D. R – perimeter. AB = 14 cm.
2. Bisector BE divides trapezoid ABCD into two geometric shapes: triangle ABE and quadrilateral BCDE.
3. The ABE triangle is isosceles. AB = AE = 14 cm.
4. Quadrangle ВСDE – parallelogram. BC = DE.
5.AD = AE + DE = BC + 14 cm. AB + CD = 14 + 14 = 28 cm.
6.P = AB + CD + BC + AD = 60 cm.
28 + 14 + BC = 60 cm.
BC = 18 cm.
AD = 18 + 14 = 32 cm.
Answer: BC = 18 cm. AD = 32 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
