It is known that the waist length of an isosceles triangle is three times the length of its base, and its circumference is 35 cm?

It is known that the waist length of an isosceles triangle is three times the length of its base, and its circumference is 35 cm?


Let the length of the bottom edge be X
35=(3x+3x+x)
x=5
So the length of the three sides is: 15,15,5



The circumference of an isosceles triangle is 50cm. The ratio of the waist to the bottom is 3:4


50 × 43 + 3 + 4 = 20 (CM); a: the length of the bottom is 20 cm



The circumference of an isosceles triangle is 50cm. The ratio of the waist to the bottom is 3:4


50 × 43 + 3 + 4 = 20 (CM); a: the length of the bottom is 20 cm



It is known that the circumference of an isosceles triangle is 30cm, and the length of one side is twice that of the other side


One side of an isosceles triangle is twice as big as the other
The waist is twice as long as the bottom
(if the length of the bottom edge is twice the length of the waist, then the bottom edge = waist + waist, not true)
SO 2 waist length + bottom edge = 30
5 bottom edge = 30
Bottom edge = 6
Waist length = 12



The circumference of isosceles triangle is 30cm, one side is 12cm, and the other side is 12cm______ .


(1) When 12 is the waist length, the bottom edge is 30-12 × 2 = 6, then 6, 12 and 12 can form a triangle, so the length of the other two sides is 12,6; (2) when 12 is the bottom edge length, the waist length is 12 × (30-12) = 9, then 9, 9 and 12 can form a triangle, so the length of the other two sides is 9,9



It is known that the circumference of an isosceles triangle is 30cm, and the length of one side is 7cm


If 7 is waist length, the other two sides are 7 and 16 respectively
If 7 is the bottom length, the other two sides are 23 / 2 in length
Because the sum of the two sides should be greater than that of the third side, the situation should be eliminated
The other two sides are 23 / 2 in length



It is known that the length of one side of an isosceles triangle is 18, and the length of the waist is three fourths of the length of the bottom side


Set the bottom X
X*3/4=18
X=18*4/3
X=24
Perimeter = 24 + 18 * 2 = 60



An isosceles triangle has a circumference of 2 decimeters, a waist length of 3 / 4 decimeters, and how many decimeters is the bottom,


2-2*3/4=1/2



If all three sides of isosceles △ ABC are roots of equation x2-6x + 8 = 0, then the circumference of △ ABC is ()
A. 10 or 8b. 1oC. 12 or 6D. 6 or 10 or 12


By solving the equation x2-6x + 8 = 0, we can get X1 = 4, X2 = 2. When 4 is waist and 2 is bottom, 4-2 < 4 < 4 + 2 can form isosceles triangle with perimeter of 4 + 2 + 4 = 10; when 2 is waist and 4 is bottom, 4-2 = 2 can not form triangle; when the three sides of isosceles triangle are 4 or 2, they form isosceles triangle with perimeter of 6 and 12 respectively. Therefore, the perimeter of △ ABC is 6 or 10 or 12



Given that the lengths of the two sides of a triangle are 4 and 5 respectively, and the cosine of their angle is the root of the equation 2x2 + 3x-2 = 0, then the length of the third side is ()
A. 20B. 21C. 22D. 61


Solve the equation 2x2 + 3x-2 = 0 to get x = - 2, or x = 12 ∵ the cosine of the angle θ between the two sides of the triangle is the root of the equation 2x2 + 3x-2 = 0, so cos θ = 12, then the length of the third side is 42 + 52 − 2.4.5.12 = 21, so choose B