Question

периметр рівнобедреного трикутника дорівнює 35 см. знайдіть сторони цього трикутника, якщо бічна сторона на 5 см менша від основи

Answer 1

периметр - P

1 сторона = a

2 сторона = b

3 сторона = c

1 сторона = 2 сторона , a=b

a=b=c-5

P=a+b+c=a+a+c=2a+c=2(c-5)+c=2c-10+c=3c-10

35=3c-10 =  35+10=3c = 45=3c  c=45/3=15

ответ: 15см = c ; 10=a,b

Answer 2

#### Perimeter of an Isosceles Triangle To find the sides of an isosceles triangle when the perimeter is 35 cm and the side length is 5 cm less than the base, we can use the following steps: 1. Let's assume that the base of the triangle is represented by the variable **b**. 2. Since the side length is 5 cm less than the base, we can represent one of the equal sides as **b - 5**. 3. The perimeter of a triangle is the sum of all its sides. In this case, the perimeter is given as 35 cm. So we can set up the equation: **b + (b - 5) + (b - 5) = 35** 4. Simplifying the equation, we get: **3b - 10 = 35** 5. Adding 10 to both sides of the equation, we get: **3b = 45** 6. Dividing both sides of the equation by 3, we get: **b = 15** 7. Now that we have the value of **b**, we can find the lengths of the other two sides: - One side length = **b - 5** = 15 - 5 = 10 cm - The other side length = **b - 5** = 15 - 5 = 10 cm Therefore, the sides of the given isosceles triangle are 15 cm, 10 cm, and 10 cm.