The shortest side of an isosceles triangle is 26 cm less than twice as long as the other sides. the perimeter of the triangle is 70 cm. find the lengths of the three sides and list them in ascending order.
, ,

The lengths of the three sides in ascending order is.

_22__cm, __24__cm, __24__cm

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of the length of its three sides.

By definition, an isosceles triangle has two equal sides.

We know that the short side measures  26 cm less than twice as long as the other sides, and that the other two sides are of equal length.

We also know that the perimeter of the triangle is 70 cm

Then we propose the following equation

Where P is the perimeter, b is the shortest side of the triangle and s is the length of the equal sides.

Then:

We substitute this equation in the first equation and solve for s

Then

597

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.