Question

The side length of a triangle are in the extended ration 2:6:7. If the perimeter of the trianlge is 45 inches, then what is the length of the shortest side?

Answer 1

Answer: 6 inches

Explanation:

To find the lengths of the sides of the triangle when they are in the extended ratio 2:6:7 and the perimeter is 45 inches, you can set up a proportion.

Let the side lengths be 2x, 6x, and 7x, where x is a common multiplier.

According to the given ratio, the perimeter of the triangle is the sum of these side lengths:

2x + 6x + 7x = 45

Combine like terms:

15x = 45

Now, divide both sides by 15 to solve for x:

x = 3

Now that we have found the value of x, we can find the lengths of the sides:

Shortest side = 2x = 2 * 3 = 6 inches

So, the length of the shortest side of the triangle is 6 inches.