The length of each side of the triangle is the root of the equation x2 7x 10 0, then the perimeter o

The length of each side of the triangle is the root of the equation x2-7x+10=0, then the perimeter of the triangle is (12).

Solution: x -7x + 10 = 0

x-2)(x-5)=0

x-2=0 x-5=0

x1=2 x2=5

Because according to the known: the length of each side of the triangle is the root of the equation x2-7x+10=0, and then according to "the sum of the lengths of any two sides of the triangle must be greater than the third side", we can know that this triangle is an isosceles triangle, the waist length can only be 5, and the base edge is 2

So, the perimeter is: 5+5+2=12

Extension of knowledge: The circumference of a triangle is the sum of the lengths of the three sides. Let the lengths of the three sides of the triangle be a, b, and c, respectively, and c to represent the perimeter, then the perimeter formula of the triangle is: c=a+b+c

The solution of a quadratic equation. The basic idea of solving a one-dimensional quadratic equation is to turn it into two one-dimensional equations by "descending". There are four basic ways to solve a quadratic equation:

1. Direct leveling method; 2. Matching method; 3. Formula method; 4. Factorization.

This question uses the "factoring method":

The factorization method is to deform the equation into the form of zero on one side and the quadratic trinomial equation on the other side into the product of two primary factors, so that the two primary factors are equal to zero respectively, and two unary equations are obtained, and the roots obtained by solving these two unary equations are the two roots of the original equation.

It should be noted that one side of the equation must be 0, and the other side can be factored by any means.

Equation x27x+10=0, factoring obtains: (x-2)(x-5)=0, solution: x=2 or x=5, the length of the triangle is 2,2,5 (rounded); 2，5，5；2，2，2；5, 5, 5, then the perimeter is 12 or 6 or 15

So the answer is: 12 or 6 or 15

Let the side length of an equilateral triangle be 1, then:

Answer: The circumference of the curved triangle is 300% of the length of one side

So the answer is: 300

Solve x first

x^2-6x+8=0

x-2）（x-4）=0

x=2 or x=4

That is, the three sides of the triangle are two numbers.

There are four possibilities of 224 244 222 444 and it is necessary to follow the triangle where the sum of the two sides is greater than the third side, and the difference between the two sides is less than the third side, and the first 2+2=4 exclusion is followed.

The second kind of 2+4 is greater than 4 4-2 is less than 4 satisfies the perimeter 2+4+4=10

The third type of 2+2 is greater than 2 2-2 is less than 2 is an equilateral triangle satisfying the circumference 2+2+2=6

The fourth type of 444 is also an equilateral triangle that satisfies the circumference of 4+4+4=12, so the answer is 10 or 6 or 12

10 The two roots are 2 and 4

2, 2, 4 cannot form a triangle.

So the three sides are 4,4,2 long

The circumference is 10

x²-6x+8=0

x-2）（x-4）=0

x1 = 2 and x2 = 4 of the solution

1. If the length of each side of the triangle is 2, the perimeter is 2*3=6 Second, if the length of each side of the triangle is 4, the perimeter is 4*3=12 Third, if the two sides of the triangle are 4 and one side is 2, then the perimeter is 4*2+2=10 Fourth, if the two sides of the triangle are 2 and one side is 4, it cannot form a triangle and is rounded.

Solution: From the equation x2-6x+8=0, we get x=2 or 4 When the three sides of the triangle are 2,2,2, then the circumference is 6;

When the three sides of the triangle are 4,4,4, the circumference is 12;

When the length of the three sides of the triangle is 2, 2, 4, 2+2=4, which does not conform to the trilateral relationship of the triangle and should be rounded;

When the three sides of the triangle are 4,4,2, then the circumference of the triangle is 4+4+2=10 In summary, the circumference of this triangle is 6 or 12 or 10

Solve the equation 2 first, 2 4 must be isosceles, 224 cannot form a triangle, 244 and 10 are the perimeter.

Solving the equation yields: x=2, x=4, and the sum of the two sides is greater than the third side, and the triangle is 4, 4, and 2 three times, respectively

So the triangle has a circumference of 10

x(x-7)-10(x-7)=0

x-7)(x-10)=0

x1=7 x2=10

The collapse of due to brightness is 3+7=10

So x2 = 10 (abandoned) rush.

So the third round side length is 7

The circumference of this triangle is 3+7+7=17

x(x-7)-10(x-7)=0

x-10)(x-7)=0

x = 10 or 7

When x=10 3+7=10 is the argument to be discarded.

When x=7 3+7, the great chaos is in the uproar of Qi 7

So the circumference is 7+7+3=17

x Sell - 6x+8=0

The solution is x=2 x=4

If the triangle is infiltrated and rolled, the three sides are 2, 2, 4, respectively, which is not in line with the topic.

So it can only be 2 4 4

The circumference is 10

x²-6x+8=0

The solution is simple x=2 x=4

Therefore, there are 4 divisions of the triangular blockade.

Because the three sides of the triangle are 2, 2, 4, respectively, it is not in line with the topic.

So the circumference has 6 12 10