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In the isosceles triangle ABC, given Sina: SINB = 1:2 and base BC = 10, then the circumference of △ ABC is______ .
Let BC = a, ab = C, AC = B
∵ Sina: SINB = 1:2
a：b=1：2，
∵ bottom BC = 10, i.e., a = 10, ᙽ B = 2A = 20
∵ the triangle ABC is an isosceles triangle, and BC is the bottom edge,
∴b=c=20
The circumference of △ ABC is 20 + 20 + 10 = 50
So the answer is 50
An isosceles triangle has a circumference of 28 cm, one side of which is 8 cm long. Find the length of the other two sides
If 8 is the bottom edge, the other two sides are 10, if 8 is the waist, the other two sides are 8 and 12 respectively
The circumference of the triangle is 50, the length of the first side is 5A + 3b, and the length of the second side is 2 times less than that of the first side by 2a-b + 1
If the length of the second side is x, then 2x + 2a-b + 1 = 5A + 3b, x = 3A / 2 + 2B + 1 / 2,
The third side length is 50 - (5a + 3b) - (3a / 2 + 2B + 1 / 2) = 101 / 2-13a / 2-5b
It is known that a and B are the two side lengths of an isosceles triangle, and a and B satisfy B = 4 + √ 3a-6 + 3 √ 2-A, then calculate the perimeter of the triangle
From b = 4 + √ 3a-6 + 3 √ 2-A,
We get {3a-6 ≥ 0
2-a≥0
A = 2, so B = 4,
Then, the circumference of the triangle is 4 + 4 + 2 = 10
Given that the area of a rectangle with one side length a and an isosceles triangle with a waist length a are equal, calculate the rectangle perimeter? A, 2A; B, 3A; C, 4a; D, 5A
Let the length of the other side of the rectangle be X
ax=1/2a^2
x=1/2a
So perimeter = 3A
Choose B
The circumference of a triangle is 5a-6b, the length of the first side is 2A + 3b, the length of the second side is 3a-2b, and the length of the third side is ()
The circumference of a triangle is 5a-6b, the length of the first side is 2A + 3b, the length of the second side is 3a-2b, and the length of the third side is (- 7b)
1. If the two sides of an isosceles triangle are 6 and 8, then the circumference is 2. If the two sides of an isosceles triangle are 3 and 6, then the circumference is
Let the length of the other side be X
The sum of the two sides of the triangle is greater than that of the third side, and the difference between the two sides is less than that of the third side
8-6＜x＜8+6
2＜x＜14
∵ is an isosceles triangle
ν x is taken as 6 or 8
The circumference is 6 + 6 + 8 = 20 or 6 + 8 + 8 = 22
Let the other side be X
6-3＜x＜6+3
3＜x＜9
∵ is an isosceles triangle
ν x is taken as 6
The circumference is 6 + 6 + 3 = 15
If a and B on both sides of an isosceles triangle satisfy | a-2b-3 | + (2a + B-11) (2a + B-11) = 0, what is its perimeter
From the equation | 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A + 2A
a-2b-3=0
2a+b-11=0
By solving the equations, a = 5, B = 1
Therefore: the waist is 5, and the bottom is 1. (when the waist is 1, it does not work because the sum of the two waists is less than the bottom)
So: the circumference of an isosceles triangle is 11
What is the circumference of an isosceles triangle whose two sides a and B satisfy | 2a-4 | + (2a + 3b-13) 2 = 0?
It is known that a and B on both sides of an isosceles triangle satisfy | 2a-4 | + (2a + 3b-13) 2 = 0
Then 2a-4 = 0, 2A + 3b-13 = 0
So a = 2, then 4 + 3b-13 = 0
B=3
The triangle is isosceles triangle
So the other side is 2 or 3
So the circumference is: 2 + 2 + 3 = 7 or 2 + 3 + 3 = 8
If a and B on both sides of an isosceles triangle satisfy | A-B + 2 | + (2a + 3b-11) 2 = 0, then the circumference of the isosceles triangle=______ .
∵|a-b+2|+（2a+3b-11）2=0，
Qi
a−b+2＝0
2a+3b−11＝0
A = 1, B = 3,
∵2a=2＜3，
The length of the bottom edge is 1 and the length of the waist is 3,
ν perimeter = 3 × 2 + 1 = 7,
Therefore, the circumference of the isosceles triangle is 7
So the answer is: 7
RELATED INFORMATIONS
- 1. If the two sides a, B of an isosceles triangle satisfy | 2a-3b + 5 | + (2a + 3b-13) 2 = 0, then the circumference of the isosceles triangle is______ .
- 2. The circumference of an isosceles triangle is 18, one side is 5, and the other two sides are______ .
- 3. It is known that the circumference of an isosceles triangle is 24cm. The center line on a waist divides the triangle into two. The difference of the circumference between the two triangles is 3cm. To find the length of each side of an isosceles triangle, the procedure is as follows @I'm not his uncle
- 4. Given the center line on the waist of an isosceles triangle, divide the circumference of the triangle into 9 cm and 15 cm, and calculate the length of each side of the triangle
- 5. The circumference of isosceles triangle is 20cm. Write the functional relationship between the base length YCM and waist length xcm (x is the independent variable) (2) write the value range of the independent variable
- 6. Given that the circumference of an isosceles triangle is 20cm and the waist length is xcm, then the value range of waist length x of this isosceles triangle is -- (x is an integer)
- 7. The median line on the waist of an isosceles triangle divides the circumference of the isosceles triangle into two parts: 15cm and 12cm, and calculates the length of each side of the triangle
- 8. The triangle ABC is an isosceles triangle, ab = AC. the median line BD on a waist divides the circumference of this triangle into two parts: 21 and 12. Find the length of each side of the triangle
- 9. For an isosceles triangle with a circumference of 10 cm, the functional relationship between the waist length y (CM) and the base length x (CM) is? What is the value range of the independent variable x?
- 10. Let the waist length of an isosceles triangle with perimeter a (a > 0) be x and its bottom edge be y. try to express y as a function of X and find out Let the waist length of an isosceles triangle with perimeter a (a > 0) be x and its bottom edge be y. try to express it as a function of X, and find its definition domain and value range`
- 11. Given that the circumference of an isosceles triangle is 20cm, the functional relationship between waist length y (CM) and base x (CM) is
- 12. It is known that the circumference of an isosceles triangle is 10cm, the waist length is xcm, and the base length is YCM. ① take the waist length x as the independent variable, write out the functional relationship between Y and X, and find the value range of the independent variable x; ② when y = 3, find the value of X;
- 13. Given that circle O passes through the three vertices of triangle ABC, ab = AC, the distance between the center of circle O and BC is 3, and the radius of circle is 7, find the length of ab
- 14. As shown in the figure, given that the vertical bisector of the sides of the isosceles triangle ABC and ab intersects AC at point D and ab at e, ab = AC = 8, BC = 6, calculate the circumference of △ BDC
- 15. In the isosceles triangle ABC, the vertical bisector of one waist AB intersects the other waist AC at g. given AB = 10, the circumference of triangle GBC is 17, then the length of bottom BC is?
- 16. In △ ABC, ab = 4 3，AC=2 3, ad is the center line of BC side, and ∠ bad = 30 °, then BC=______ .
- 17. As shown in the figure, it is known that in trapezoidal ABCD, BD bisection ∠ ABC, ∠ a = 120 ° and BD = BC = 4 3, then s trapezoid ABCD = () A. 4 Three B. 12 C. 4 3-12 D. 4 3+12
- 18. As shown in the figure: the circumference of △ ABC is 24cm, ab = 10cm, the vertical bisector De of edge AB intersects BC, the edge is at point E, and the perpendicular foot is D, calculate the circumference of △ AEC
- 19. As shown in the figure, given that AB is 2cm longer than AC, the vertical bisector of BC intersects AB at D, crosses BC at e, and the circumference of △ ACD is 14cm, then ab=______ cm，AC=______ cm．
- 20. It is known that Mn is the vertical bisector of line AB, and C and D are two points on Mn (1) Δ ABC, △ abd are isosceles triangles; （2）∠CAD=∠CBD．