Basic Geomeattempt Help » Plane Geometry » Quadrilaterals » Rectangles » How to uncover the length of the diagonal of a rectangle

One side of a rectangle is 7 inches and another is 9 inches. How many kind of inches long is the rectangle"s diagonal?

Explanation:

You have the right to uncover the diagonal of a rectangle if you have actually the width and the height. The diagonal equates to the square root of the width squared plus the height squared.

You watching: Find the length of the diagonal of the box.

Explanation:

The rectangle have the right to be reduced right into 2 equal appropriate triangles, wbelow the hypotenuse of both is the rectangle"s diagonal.

Use the Pythagorean Theorem to uncover the hypotenuse:

, wright here a and b are the legs and c is the hypotenuse

A standard high college basketball court is 84 feet long and 50 feet wide. During exercise, Coach K has Kyrie run from one the right corner on one finish of the court to the left corner at the other finish of the court. To the nearest foot, just how much did Kyrie run?

Explanation:

A photo helps greatly via this trouble, so we begin through a rectangular basketsphere court.

We note that the distance run by Kyrie (attracted in red) is the diagonal of our rectangle, which we will certainly speak to

. We need to also not that this diagonal divides our rectangle into two congruent ideal triangles. We have the right to therefore uncover the size of our diagonal by focusing on among these triangles and determining the hypotenuse. This deserve to be done through the Pythagorean Theorem, which offers us:

Taking the square root offers us

Rounding to the nearest foot gives an answer of 98.

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### Example Concern #5 : How To Find The Length Of The Diagonal Of A Rectangle

A rectangle has a height of

and also a base of
. What is the size of its diagonal rounded to the nearemainder tenth?

Explanation:

1. Use Pythagorean Theorem through

and
.

2. Solve for

, the size of the diagonal:

This rounds down to

because the hundredth"s location (
) is much less than
.

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### Example Concern #6 : How To Find The Length Of The Diagonal Of A Rectangle

The sides of rectangle ABCD are 4 in and also 13 in.

How long is the diagonal of rectangle ABCD?

Explanation:

A diagonal of a rectangle cuts the rectangle right into 2 right triangles through sides equal to the sides of the rectangle and through a hypotenuse that is the diagonal. All you have to execute is usage the pythagorean theorem:

where a and also b are the sides of the rectangle and c is the size of the diagonal.

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### Example Concern #1 : How To Find The Length Of The Diagonal Of A Rectangle

Find the length of the diagonal of a rectangle that has actually a size of

and a width of
.

Explanation:

The diagonal of a rectangle is likewise the hypotenuse of a right triangle that has actually the size and the width of the rectangle as its legs.

We have the right to then use the Pythgorean Theorem to uncover the diagonal.

See more: a growing crisis wow legion start

For the offered rectangle,

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### Example Inquiry #8 : How To Find The Length Of The Diagonal Of A Rectangle

Find the length of the diagonal of a rectangle that has actually a size of

and also a width of
.

Explanation:

The diagonal of a rectangle is additionally the hypotenuse of a appropriate triangle that has actually the length and the width of the rectangle as its legs.

We have the right to then usage the Pythgorean Theorem to uncover the diagonal.

For the given rectangle,

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### Example Concern #9 : How To Find The Length Of The Diagonal Of A Rectangle

Find the length of the diagonal of a rectangle that has a length of

and a width of
.

Explanation:

The diagonal of a rectangle is also the hypotenuse of a appropriate triangle that has the length and the width of the rectangle as its legs.

We deserve to then usage the Pythgorean Theorem to find the diagonal.

For the offered rectangle,

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### Example Question #10 : How To Find The Length Of The Diagonal Of A Rectangle

Find the size of the diagonal of a rectangle that has a size of

and a width of
.

Explanation:

The diagonal of a rectangle is additionally the hypotenuse of a best triangle that has the size and also the width of the rectangle as its legs.

See more: How To Make Minecraft Fullscreen On Second Monitor On Windows 10

We have the right to then use the Pythgorean Theorem to uncover the diagonal.

For the provided rectangle,

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