Question

Знайдіть сторони рівнобедренного трикутника.якщо його периметр дорівнює 100 см,а основа відноситься до бічної сторони як 4:3

Answer 1

Нехай х -коефіцієнт пропорційності, тоді АВ=ВС=3х, АС=4х.

Складаємо рівняння:

3х+3х+4х=100

10х=100

х=10, отже 

 АВ=ВС=3*10=30(см)

АС=4 *10=40(см) . 

 

 

 

 

 

 

 

 

 

Answer 2

Finding the sides of an isosceles triangle with a given perimeter and a ratio between the base and the side

To find the sides of an isosceles triangle, we need to use the given information about the perimeter and the ratio between the base and the side.

Let's denote the base of the triangle as x and the two equal sides as y. According to the given ratio, the base is related to the side as 4:3. This means that x:y = 4:3.

The perimeter of the triangle is given as 100 cm. Since the triangle is isosceles, we can calculate the perimeter using the formula: perimeter = 2y + x.

Substituting the given values, we have:

100 = 2y + x

We also know that x:y = 4:3. We can rewrite this ratio as x = (4/3)y.

Substituting this value of x into the perimeter equation, we get:

100 = 2y + (4/3)y

Simplifying the equation, we have:

100 = (6/3)y + (4/3)y

Combining like terms, we get:

100 = (10/3)y

To solve for y, we can multiply both sides of the equation by 3/10:

y = (3/10) * 100

Simplifying, we find:

y = 30

Now that we have the value of y, we can substitute it back into the equation x = (4/3)y to find x:

x = (4/3) * 30

Simplifying, we find:

x = 40

Therefore, the sides of the isosceles triangle are 30 cm, 30 cm, and 40 cm.