Question

The lengths of the sides of a triangle are in the extended ratio 7:9:10. The perimeter of the triangle is 104 cm. What are the lengths of the sides?

The lengths of the sides of the triangle in cm are____
(Use a comma to separate answers as needed. )

Answer 1

The lengths of the sides of the triangle with an extended ratio of 7:9:10 and a perimeter of 104 cm are 28 cm, 36 cm, and 40 cm.

Step-by-step explanation:

To find the lengths of the sides of the triangle, we can use the extended ratio of 7:9:10. Let's assume the common ratio is x:

Side 1 = 7x

Side 2 = 9x

Side 3 = 10x

Since the perimeter is 104 cm, we can set up the equation:

7x + 9x + 10x = 104

Combine like terms:

26x = 104

Divide both sides by 26:

x = 4

So, the lengths of the sides are:

Side 1 = 7x = 7 * 4 = 28 cm

Side 2 = 9x = 9 * 4 = 36 cm

Side 3 = 10x = 10 * 4 = 40 cm