In an isosceles triangle klm with base km, the lateral side is 9 cm, the perimeter is 27 cm.
| February 23, 2021 | education
In an isosceles triangle klm with base km, the lateral side is 9 cm, the perimeter is 27 cm. The segment hp is the bisector of this triangle. Find kp.
Since the KLM triangle is isosceles, then ML = ML = 9 cm.
Since the perimeter of the KLM triangle, by condition, is 27 cm, then KM = (Pklm – KL – ML) = (27 – 9 – 9) = 9 cm.
The bisector of an isosceles triangle, drawn to its base, is also its height and median, then KР = KM / 2 = 9/2 = 4.5 cm.
Answer: The length of the KP segment is 4.5 cm.
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