What does the converse of the Pythagorean Theorem say about a triangle with sides of length a, b, and c, where c>a and c>b?

A. If it is a right triangle, then a2+b2=c2.

B. If a2+b2=c2, then it is a right triangle.

C. If it is not a right triangle, then a2+b2≠c2.

D. If a2+b2≠c2, then it is not a right triangle.

B. If a2+b2=c2, then it is a right triangle.

Step-by-step explanation:

The converse of the Pythagorean theorem says

"if the sum of the squares of the two sides is equal to the square of its longest side, then the triangle is a right triangle."

Which means for a triangle with sides and , where & , if

, then it is a right triangle.

Therefore, choice B: If a2+b2=c2, then it is a right triangle., is correct

5

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.