In the parallelogram KMNP, the bisector of the angle MKP is drawn which intersects the side MN at the point E
January 30, 2021 | education
| In the parallelogram KMNP, the bisector of the angle MKP is drawn which intersects the side MN at the point E a) Prove that the triangle KME is isosceles. b) Find the corner KP if ME = 10 cm and the perimeter of the parallelogram = 52 cm.
1. Let’s denote the angle by the symbol ∠.
2. ∠ЕКМ = ∠ЕКР, since the bisector AP divides ∠К into two equal parts.
3. ∠ЕКР = ∠ МЕК as internal criss-crossing at parallel sides МN and КР and
bisector КЕ intersecting them. 4. The angles adjacent to the KE side are equal. Hence,
triangle KME is isosceles. ME = KM = 10 cm.
4. Considering that the opposite sides of the parallelogram KMNP are equal, its perimeter
calculated by the formula:
2KM + 2KP = 52 cm.
KM + KP = 26 cm.
5.KR = 26 – 10 = 16 cm.
Answer: KP = 16 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.