A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:

___________12 inches_______

7 |

i |

n |

Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.

The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.

Let S = the length of the side from corner to corner

S² = 12² + 7²

S² = 144 + 49

S² = 193

S = √193 or -√193

Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193

S = √193 = 13.8924439894

S = 18.92 (rounded to two places)

Thus, Reggie will cut 18.92 inches of paper.

5 0

3 years ago

How can you find this distance (-3,7),(0,4) in words

Bezzdna [24]

Answer:

The distance between these two given points is:

$3\sqrt{2}$

Step-by-step explanation:

We are given two points:

(-3,7),(0,4)

The distance between two points (a,b) and (c,d) is given by the distance formula as:

$\sqrt{(c-a)^2+(d-b)^2$

similarly we can find the length of a line segment by considering the distance between the end points of the line segment.

So here (a,b)=(-3,7)

and (c,d)=(0,4).

Hence distance between these two points is given by:

$\sqrt{(0-(-3))^2+(4-7)^2}=\sqrt{(3)^2+(-3)^2}=\sqrt{9+9}\\ \\=\sqrt{18} \\\\=3\sqrt{2}$

6 0

4 years ago

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