Question

Please help me with that problem:

The side of an isosceles triangle is related to its base as, 5:3. The length of the base is allowed, which is equal to 8 cm. Calculate the perimeter and sides of the triangle

Answer 1

Step-by-step explanation: If the ratio of the side length to the base length of an isosceles triangle is 5:3, and the base length is 8 cm, then we can find the length of the sides as follows:

Let x be the length of each of the equal sides. Then, we have:

5/3 = x/8

Multiplying both sides by 8, we get:

x = (5/3)*8 = 40/3

So, each of the equal sides has a length of 40/3 cm.

To find the perimeter of the triangle, we can add up the lengths of all three sides:

Perimeter = x + x + 8 = 2x + 8

Substituting the value of x, we get:

Perimeter = 2*(40/3) + 8 = 80/3 + 24/3 = 104/3

So, the perimeter of the triangle is 104/3 cm, and each of the equal sides has a length of 40/3 cm.