Joey has a square piece of paper with edges that are 8 inches long. He cuts the paper along a diagonal to make two congruent triangles. Which measurement is closest to the length, in inches, of the hypotenuse of each triangle?

The hypotenuse of each triangle is 11.3

Step-by-step explanation:

The paper that Joey had is a square. All sides are equal in a square. The length of the given sides are 8 inches each. He cuts the paper along a diagonal to make two congruent triangles. This means that the square is divided equally.

Each part is a right angle triangle whose hypotenuse is the diagonal of the square and the length of each side of the square forms the opposite site and adjacent side of the triangle. Applying Pythagoras theorem,

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 8^2 + 8^2 = 64 + 64 = 128

Hypotenuse = √128 = 11.3

Question 7 is= 2^2 * 3^3 * 5

Question 8 is= 5^3 * 4

Question 9 is= 16= 2*2*2*2

Step-by-step explanation:

7.

540 = 2*2*3*3*3*5

/ \ = 2^2 * 3*3 * 5

54 10

/ \ / \

6 9 2 5

/ \ /\

3 2 3 3

8.

500 = 5*5*5*4

/ \ = 5^3 * 4

5 100

/ \

20 5

/ \

5 4

9.

16 = 2*2*2*2

/ \ = 2^4

4 4

/\ /\

2 2 2 2