The measures of the sides of a triangle are in the extended ratio 2 : 5 : 11, the perimeter is 90ft. which of the following lengths is the shortest side? a. 2 feet b. 10 feet c. 5 feet

Shortest side of the triangle is 10 feet .

Option (B) is correct .

Step-by-step explanation:

As given

The measures of the sides of a triangle are in the extended ratio 2 : 5 : 11 .

The perimeter is 90ft.

Let us assume that the x be the multiple of all sides .

Than,

One side of the triangle = 2x

Second side of the triangle = 5x

Third side of the triangle = 11x

As the  perimeter of a triangle is the sum of all three sides of a triangle .

Thus

2x + 5x + 11x = 90

18x =  90

x = 5

One side of the triangle = 2x

                                       = 2 × 5

                                        = 10 feet

Second side of the triangle = 5x

                                             = 5 × 5

                                            = 25 feet

Third side of the triangle = 11x

                                         = 11 × 5

                                         = 55 feet

Therefore shortest side of the triangle is 10 feet .

Option (B) is correct .

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

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step-by-step explanation: