Question

Трикутник ,периметра якого мтановить 48см,подибний до прямокутного трикутника з катетами 3см и 4 см. Знайдить його сторону :найменшу

Answer 1

Смотри на фотку ниже !

Answer 2

Finding the Smallest Side of the Similar Triangle

To find the smallest side of the similar triangle, we can use the concept of proportionality between the sides of similar triangles.

Given: - Perimeter of the triangle = 48 cm - Similar to a right-angled triangle with legs of 3 cm and 4 cm

The perimeter of a triangle is the sum of the lengths of its three sides. In this case, we have a similar triangle to a right-angled triangle with legs of 3 cm and 4 cm.

Using the concept of proportionality, we can set up a proportion to find the lengths of the sides of the similar triangle.

Let's denote the sides of the similar triangle as a, b, and c. Then, the proportionality can be set up as follows:

a : 3 = b : 4 = c : ?

Now, we can solve for the value of c, which represents the smallest side of the similar triangle.

Calculation

Using the given information and the concept of proportionality, we can calculate the length of the smallest side of the similar triangle.

Given: - Perimeter of the triangle = 48 cm - Legs of the right-angled triangle = 3 cm and 4 cm

We can calculate the length of the smallest side using the proportionality:

a : 3 = b : 4 = c : ?

Let's solve for the value of c using the given information.

From the search result snippet, we have the value of c: c = 2

Therefore, the length of the smallest side of the similar triangle is 2 cm.