It is known that the three sides of an isosceles triangle are x 2x 1 5x 3, and the perimeter of the

1) If x=2x-1, then x=1, the trilateral of the triangle is 1,1,2, which does not conform to the trilateral relationship and is excluded.

2) If x=5x-3, then x=3 4, the trilateral of the triangle is 3 4, 1 2, 3 4, which conforms to the trilateral relationship.

3) If 2x- 1=5x-3, then x=2 3, the trilateral of the triangle is 2 3, 1 3, 1 3, which conforms to the trilateral relationship.

So the circumference of the triangle is 3 4 + 1 2 + 3 4 = 2 or 2 3 + 1 3 + 1 3 = 4 3

Answer: If x=2x-1, then x=1, 5x-3=2, because the sum of the two sides of the triangle is greater than the third side, so it is rounded.

If x=5x-3, then x=3 4, 2x-1=1 2, so its circumference = 3 4+3 4+1 2=2.

If 2x-1=5x-3, then x=2 3, because the sum of the two sides of the triangle is greater than the third side, it is rounded.

That's how it should be!

Because isosceles, x=2x-1

x=1 means that the side length is 1,1,2Not true.

x=5x-3

x=3 4 side length 3 4, 1 2, 3 4 holds.

c=22x-1=5x-3

x=2 3 side length is 2 3, 1 3, 2 3 holds.

c = 5 3 so c is 2 or 5 3

Answer: If x=2x-1, then x=1, 5x-3=2, because the sum of the two sides of the triangle is greater than the third side, so bend the rock.

If x=5x-3, then x=3 4,2x-1=1 2, so its circumferential prowess=3 4+3 4+1 2=2

If 2x-1=5x-3, then x=2 3, because the sum of the two sides of the triangle is greater than the third side of the auspicious palace, so it is rounded.

That's how it should be!

Isosceles three liquid angles, so x=2x-1 or 2x-1=5x-3 or x=5x-3 respectively solve the three equations to get x=1, the three sides are 1, 1, 2, do not meet the requirement that the sum of the two sides of the triangle is greater than the third side of the teasing, do not hold x=2 3, so the three sides are 2 3, 1 3, 1 3, in the same way, do not hold the friend sells x=3 4, so the three sides are 3 4, 1 2, 3 4, into.

There are several situations:

1. Let x and 2x-1 be the waist and 5x-3 be the bottom, then x=2x-1, and x=1, that is, the waist length of the isosceles triangle is 1, and the length of the bottom edge is 5x-3=2. According to the principle that the sum of any two sides of a triangle is greater than the third side, this result does not hold.

2. Let x and 5x-3 be the waist and 2x-1 be the bottom, then x=5x-3, and obtain, x=3 4, that is, the waist length of the isosceles triangle is 3 4, and the bottom length is 2x-1=1 2. According to the principle that the sum of any two sides of a triangle is greater than the third side, this result holds.

3. Let 2x-1 and 5x-3 be the waist and x is the bottom, then 2x-1=5x-3, and it is obtained, x=2 3, that is, the length of the bottom side of the isosceles triangle is 2 3, and the waist length of the isosceles triangle is 2x-1=1 3. According to the principle that the sum of any two sides of a triangle is greater than the third side, this result does not hold.

In summary, the waist length of an isosceles triangle is 3 4, and the length of the base edge is 1 2, so the circumference of this triangle = 3 4 + 3 4 + 1 2 = 2.

Let the three sides of the triangle be a, b, c, a=x, b=2x-1, and c=5x-3

If a=b, i.e., x=2x-1, we get x=1, then c=2, a+b=2=c, the sum of the two sides is equal to the third side, which is not true.

If a=c, i.e., x=5x-3, we get x=, then b=, a+b=, a-b=, is true.

If b=c, i.e., 2x-1=5x-3, we get x=2 3, then a=2 3, b=1 3=c, a+b=1 c, a-b=1 3=c, is not true.

To sum up: a=c=, b=, and the circumference is 2

If x=2x-1 then x=1 5x-3=2, the sum of the two sides equals the third side, rounded off.

If x=5x-3 then x=3 4 2x-1=1 2 If 2x-1=5x-3 x=2 3 2x-1=1 3 , the sum of the two sides equals the third side, rounded off.

So circumference = 1 2 + 3 4 + 3 4 = 2

Assuming that any two sides are equal, find x, and then substitute x to see if there is a contradiction, and repeat this until there is no contradiction, and then you can find it.

There are two scenarios.

x=3 4 The circumference is 2

x=2 3 The circumference is 5 3

For example, the round fruit x=2x-1

then imitation x=1

5x-3=2, the sum of the two sides is equal to the third side, rounded.

If x=5x-3

then x=3 4

2x-1=1/2

If 2x-1 = 5x-3

x=2/32x-1=1/3

The sum of the two sides of the orange rock is equal to the third side, and it is rounded.

So circumference = 1 2 + 3 4 + 3 4 = 2

1、x=2x-1

x=1 x=1 2x-1=1 5x-3=2 cannot form a triangle and is rounded.

2、x=5x-3

x=3 4x=3 4 2x-1=1 2 5x-3=3 4 circumference=3 4+1 2+3 4=4

x-1=5x-3

x=2 3x=2 3 2x-1=5x-3=1 3 also cannot form a triangle.

The circumference is 4

Solution: 2x 1x

x 1, 5x 3 5 3 2 The three sides are .,No way

5x－3＝x

x 3 4 2x 1 2 3 4 1 1 2 The three sides are 2

Circumference: 3 4 3 4 1 2 2;

5x－3＝2x－1

x 2 3 2x 1 4 3 1 1 3 The three sides are 3 and 2 3 impossible.

If x=2x-1, then x=1, 5x-3=2, 2x-1=1, and cannot form a triangle.

If x=5x-3, then x=3 4, 5x-3=3 4, 2x-1=1 2, and the perimeter is 2

If 2x-1=5x-3, then x=2 3, 5x-3=2x-1=1 3, cannot form a triangle.

1. If 5x-3 is the bottom, then x=2x-1 x=1Perimeter = x + 2 x - 1 + 5 x - 3 = 8 x - 4 = 8 * 1 - 4 = 4;

2. If x is the bottom, then 2x-1=5x-3 x=2 3Circumference = 8x-4 = 8 * 2 3-4 = 1 and 1 3

3. If 2x-3 is the bottom, x=5x-3 x=3 4Circumference = 8x-4 = 8 * 3 4-4 = 2

1.When x=2x-1, x=1 5x-3=2 is equal to the sum of the other two sides, which obviously cannot form a triangle.

2.When x=5x-3, x=3 4 2x-1=1 2 trilateral 3 4 4 1 2 matches the problem c=3 4 + 3 4 +1 2=2

3.When 2x-1=5x-3, the three sides of x=2 3 2x-1=1 3 are 2 3 1 3 1 3 respectively and cannot form a triangle.

Synthesis of 123, c = 2 and x = 3 4

The method of testing the difference between the two sides The third side The sum of the two sides (a-b c a+b).

If x=2x-1, then x=1 3 5x-3 is negative.

If x=5x-3 then x=3 4 2x-1=1 2 circumference = 2

If 2x-1=5x-3, then x=2 3 2x-1=1 3 circumference=4 3

Solution: Obviously, x≠2x, and if x=5x-3, then x+5x-3=2x is not in line with the topic 2x=5x-3

Solution: x=1

The circumference of the triangle is 1+2+2=5

Circumference x+2x-1+5x-3

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