Question

Отрезки CM, BN и AK медианы треугольника ABC найдите его периметр, если BМ=3см , NС=5см, KC=4см С объяснением пж ​​

Answer 1

Ответ:

только там где 6, 8, 10 см в душках напиши

Answer 2

Finding the Perimeter of Triangle ABC with Given Median Segments

To find the perimeter of triangle ABC using the given median segments CM, BN, and AK, we can use the fact that the medians of a triangle divide each other in a 2:1 ratio. Let's calculate the perimeter step by step.

Step 1: Finding the Lengths of the Sides of Triangle ABC

First, we need to find the lengths of the sides of triangle ABC. We can use the fact that the medians divide each other in a 2:1 ratio to find the lengths of the sides.

Given: - BM = 3 cm - NC = 5 cm - KC = 4 cm

We can use the fact that the medians divide each other in a 2:1 ratio to find the lengths of the sides of the triangle.

Using the 2:1 Ratio Property: - CM = 2 * BM = 2 * 3 = 6 cm - BN = 2 * NC = 2 * 5 = 10 cm - AK = 2 * KC = 2 * 4 = 8 cm

Now we have the lengths of the sides of triangle ABC.

Step 2: Calculating the Perimeter of Triangle ABC

The perimeter of a triangle is the sum of the lengths of its three sides.

Perimeter (P) = AB + BC + AC

Substitute the values we found: - AB = BN + NC = 10 cm + 5 cm = 15 cm - BC = CM + KC = 6 cm + 4 cm = 10 cm - AC = AK + KB = 8 cm + 3 cm = 11 cm

Perimeter (P) = 15 cm + 10 cm + 11 cm = 36 cm

So, the perimeter of triangle ABC is 36 cm.