The lengths of the sides of the parallelogram are 7 cm and 13 cm. Into what lengths does
| August 8, 2021 | education
The lengths of the sides of the parallelogram are 7 cm and 13 cm. Into what lengths does the bisector of its obtuse angle divide the side of the parallelogram?
1. Vertices of the parallelogram – A, B, C, D. BE – bisector. AB = 7 centimeters. AD = 13 centimeters.
2. The bisector BE divides the parallelogram into two geometric shapes. One of them is the ABE triangle, which, according to the properties of the parallelogram, is isosceles. Its sides AB and AE are equal:
AB = AE = 7 centimeters.
3. DE = AD – 7 = 13 – 7 = 6 centimeters.
Answer: the bisector BE divides the base AD into segments AE = 7 centimeters, DE = 6 centimeters.
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