Question

В треугольнике ACК проведена медиана СМ Найдите периметр треугольника СМК если СК-15см. АК-20 см. СМ- 12 см​. Даю 20 баллов.

Answer 1

Ответ:

37 см.

Объяснение:

Медиана - отрезок, соединяющий вершину с серединой противоположной стороны.

Периметр - сумма длин сторон треугольника.

Дано: Δ СМК.

СМ - медиана

СК = 15 см; АК = 20 см; СМ=12 см.

Найти: Р ΔСМК.

Решение:

АМ=МК=20:2=10 (см) (СМ - медиана)

Р ΔСМК=СМ+СК+МК=12+15+10=37 (см)

Answer 2

Perimeter of Triangle SMK

To find the perimeter of triangle SMK, we need to know the lengths of all three sides of the triangle. From the given information, we know that SK is 15 cm, AK is 20 cm, and SM is 12 cm.

To find the length of CM, we can use the fact that CM is a median of triangle ACK. In a triangle, a median is a line segment that connects a vertex to the midpoint of the opposite side. The median divides the triangle into two equal areas.

To find the length of CM, we can use the formula for the length of a median in a triangle:

CM = (1/2) * sqrt(2 * AK^2 + 2 * SK^2 - AK^2 - SK^2)

Substituting the given values, we have:

CM = (1/2) * sqrt(2 * 20^2 + 2 * 15^2 - 20^2 - 15^2)

Calculating this expression, we find that CM is approximately 17.32 cm.

Now that we have the lengths of all three sides of triangle SMK, we can calculate its perimeter by adding the lengths of the three sides:

Perimeter of triangle SMK = SM + MK + KS

Substituting the given values, we have:

Perimeter of triangle SMK = 12 cm + 17.32 cm + 15 cm

Calculating this expression, we find that the perimeter of triangle SMK is approximately 44.32 cm.

Therefore, the perimeter of triangle SMK is approximately 44.32 cm.

I hope this helps! Let me know if you have any further questions.