Question

3. Сторони трикутника дорівнюють 10см, 8см, 5 см. Знайдіть сторони трикутника, подібного даному, якщо периметр подібного трикутника дорівнює 46см. СРОООООЧНО ДАМ 20 балов.

Answer 1

Ответ:

Р=10+8+5=23см

Р=46см      подобного

значит отношение сторон будет 1:2  т.к 46÷23=2

1сторона=10×2=20см

2сторона=8×2=16см

3сторона=5×2=10см

Объяснение:

Answer 2

To find the sides of a triangle similar to the given triangle, we need to determine the scale factor between the two triangles. The scale factor is the ratio of corresponding side lengths in the two triangles.

Let's denote the sides of the given triangle as a = 10 cm, b = 8 cm, and c = 5 cm. The perimeter of the given triangle is P = a + b + c = 10 cm + 8 cm + 5 cm = 23 cm.

Now, let's denote the sides of the similar triangle as x, y, and z. The perimeter of the similar triangle is given as 46 cm.

To find the scale factor, we can divide the perimeter of the similar triangle by the perimeter of the given triangle:

Scale factor = Perimeter of similar triangle / Perimeter of given triangle = 46 cm / 23 cm = 2

Now, we can find the sides of the similar triangle by multiplying each side of the given triangle by the scale factor:

x = a * scale factor = 10 cm * 2 = 20 cm

y = b * scale factor = 8 cm * 2 = 16 cm

z = c * scale factor = 5 cm * 2 = 10 cm

Therefore, the sides of the triangle similar to the given triangle, with a perimeter of 46 cm, are 20 cm, 16 cm, and 10 cm.

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