Question

Знайти сторони рівнобедреного трикутника, якщо його периметр 36см, а основа на 3см більша від бічної сторони.

Answer 1

Ответ:

BC = AB = 11 см

AC = 14 см

Объяснение:

Дано: PΔABC = 36 см, AB = BC, AC = AB + 3

Знайти: AB,BC,AC - ?

Розв'язання: Так як за умовою AB = BC, то AC = AB + 3 = BC + 3. За означенням периметра трикутника(ΔABC):

AB + BC + AC = PΔABC

AB + AB + AB + 3 = 36

3AB = 33|:3

AB = 11 см

BC = AB = 11 см.

AC = AB + 3 = 11 + 3 = 14 см.

Answer 2

Finding the Sides of an Isosceles Triangle

To find the sides of an isosceles triangle when its perimeter is 36 cm and the base is 3 cm longer than the other side, we can use the following approach:

1. Identify the Variables: Let's denote the length of the two equal sides as "x" and the length of the base as "x + 3".

2. Use the Perimeter Formula: The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the perimeter is given as 36 cm, so we can write the equation: \[ x + x + (x + 3) = 36 \]

3. Solve for x: By solving the equation, we can find the value of x, which represents the length of the equal sides.

Let's calculate the value of x using the given information.

\[ 2x + (x + 3) = 36 \] \[ 3x + 3 = 36 \] \[ 3x = 36 - 3 \] \[ 3x = 33 \] \[ x = \frac{33}{3} \] \[ x = 11 \]

Now that we have found the value of x, we can determine the lengths of the sides of the isosceles triangle.

Calculating the Side Lengths

The lengths of the sides are as follows: - The two equal sides: 11 cm each - The base: 11 + 3 = 14 cm

Therefore, the sides of the isosceles triangle are 11 cm, 11 cm, and 14 cm.