Question

первайа сторона треугольника в 2 раза длиннее второй,а третья на 4 см длиннее первой.найди стороны треуголника ,если периметр равен 36 см.к какому виду относится этот треуголник?

Answer 1

Problem Analysis

We are given information about the sides of a triangle: - The first side is twice as long as the second side. - The third side is 4 cm longer than the first side. - The perimeter of the triangle is 36 cm.

We need to find the lengths of the sides of the triangle and determine the type of triangle it is.

Solution

Let's assume the length of the second side is x cm.

According to the given information: - The first side is twice as long as the second side, so its length is 2x cm. - The third side is 4 cm longer than the first side, so its length is 2x + 4 cm.

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is 36 cm. So we can write the equation:

x + 2x + (2x + 4) = 36

Simplifying the equation: 5x + 4 = 36

Subtracting 4 from both sides: 5x = 32

Dividing both sides by 5: x = 6.4

Now we can find the lengths of the sides: - The second side: x = 6.4 cm - The first side: 2x = 2 * 6.4 = 12.8 cm - The third side: 2x + 4 = 2 * 6.4 + 4 = 17.8 cm

Therefore, the lengths of the sides of the triangle are: - First side: 12.8 cm - Second side: 6.4 cm - Third side: 17.8 cm

Type of Triangle

To determine the type of triangle, we can compare the lengths of the sides.

In this case, the first side is longer than the second side, and the third side is longer than the first side. This means that the triangle is an obtuse triangle.

An obtuse triangle is a triangle with one angle greater than 90 degrees.

Conclusion

The lengths of the sides of the triangle are: - First side: 12.8 cm - Second side: 6.4 cm - Third side: 17.8 cm

The triangle is an obtuse triangle.