Question

В прямоугольном треугольнике ABC с прямым углом C известны катеты: AC = 6 , BC = 8 . Найдите медиану CK этого треугольника.

Answer 1

По теореме пифагора:
АВ²=36+64
АВ=10
СК=1/2АВ=>5cм

Answer 2

Finding the Median CK of Triangle ABC

To find the median CK of triangle ABC, where AC = 6 and BC = 8, we can use the formula for the median of a triangle, which states that the median from vertex C to side AB is half the length of the hypotenuse. In this case, the hypotenuse is AB.

Using the formula for the median of a triangle: The median CK is half the length of the hypotenuse AB.

Given: AC = 6 BC = 8

Calculating the length of the hypotenuse AB: Using the Pythagorean theorem, we can find the length of the hypotenuse AB: AB^2 = AC^2 + BC^2 AB^2 = 6^2 + 8^2 AB^2 = 36 + 64 AB^2 = 100 AB = √100 AB = 10

Finding the median CK: The median CK is half the length of the hypotenuse AB. CK = 10 / 2 CK = 5

Therefore, the median CK of triangle ABC is 5.