how do you find if only give x and y of rhombus

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A rhombus is a parallelogram with 4 congruent sides. Information technology does not have to accept right angles.^[1] In that location are three formulas for finding the area of a rhombus. Just follow these steps if you want to know how to practice it.

1
Notice the length of each diagonal. The diagonals of a rhombus are the lines that connect the opposite vertices (corners) in the middle of the shape. The diagonals of a rhombus are perpendicular and course four right triangles through their intersection.^[ii]
- Let's say the diagonals are vi cm. and eight cm. long.
2

Multiply the length of the diagonals. Just write down the length of the diagonals and multiply them. In this instance, half-dozen cm x 8 cm = 48 cm². Don't forget to square the units since yous're working in foursquare units.

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3

Split up the result past 2. Since 6 cm x 8 cm = 48 cm², just split up the result by two. 48 cm^two/2 = 24 cm². The area of the rhomb is 24 cm^two.

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one

Detect the base and the height. ^[three] You tin can besides think of this as multiplying the altitude of the rhombus with the length of the side of the rhombus. Let's say the height of the rhombus is 7 cm and the base is 10 cm.
2

Multiply the base and pinnacle. Once yous know the base and height of the rhombus, all you lot have to practice to find the expanse of the shape is to multiply them. And then, 10 cm ten 7 cm = seventy cm². The area of the rhombus is 70 cm².

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i

Square the length of whatever side. A rhombus has 4 equal sides, so it doesn't matter which side yous choose. Allow's say the side is 2 cm long. 2 cm ten 2 cm = 4 cm².
two

Multiply information technology by the sine of one of the angles. It doesn't matter which angle yous choose. Let's say ane of the angles is 33 degrees. Just multiply sine (33) by 4 cm² to go the area of the rhombus. (two cm)² x sine (33) = iv cm² x 0.55 = two.ii cm². The surface area of the rhombus is 2.2 cm².

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Question

How do I find the perimeter of a rhombus?

Perimeter = sum of all sides. The rhombus has equal sides, and then its perimeter = side x four.
Question

How tin can I observe the height of a rhombus?

In a rhombus, the diagonals bifurcate and are perpendicular, meaning that within the rhombus there are four right-bending triangles, with side lengths one-half that of the diagonals, use the pythagoran theorem to find the hypotenuses a² + b² = c² At present we accept the base, given any of the angles inside the rhombus, we tin notice all of them because they are corresponding and all add together up to 360 degrees, once we have all of the angles, another two identical triangles appear. nosotros only have to use one of these as they are identical. At present we have the hypotenuse and an angle of this triangle so using trigonometry nosotros can find the adjacent side which is the top of the rhomb.
Question

How do I determine the perimeter given one diagonal and the area?

Use the Pythagorean theorem to notice the sides and then find the perimeter.
Question

How I can find the sides of a rhombus if its area is given 550 m and altitude is 55 cm?

Since the area equals the product of the base and the altitude (height), separate the expanse by the acme to become the base of operations (side).
Question

How do I find interior angles if but diagonals are given?

For ANY shape, the formula for calculating the sum of the interior angles when the number of sides = "s" is: (s - 2) ten 180 And then, a triangle for example is 3 - 2 x 180 = 1 x 180 = 180. A quadrilateral is iv - 2 x 180 = 2 ten 180 = 360. A pentagon is 5 - 2 ten 180 = 3 x 180 = 540, so on.
Question

How do I observe the side of the rhomb if the diagonals are given?

If you accept the diagonals, you lot can use the Pythagorean Theorem. Allow's say d is the beginning diagonal and g is the 2d. The formula for 1 side is (foursquare root of ((1/2nd)^2+(one/2g)^2))).
Question

How practise I find the area of a rhombus if 1 side is 10 centimeters and the diagonal is 12?

Find the other side using Pythagoras theorem. Other diagonal=8*2=sixteen cm. Area of rhombus=1/2 *production of diagonals=1/2*xvi*12=96 sq.cm.
Question

How tin can I notice area of rhombus if the length of a diagonal and perimeter is given?

Yous can't detect the area with the information yous have. Either you need the length of each diagonal (which you don't accept), or you need the base and the peak. You lot have the base of operations, but you don't accept the height.
Question

How exercise I calculate the area of a rhombus using the perimeter?

Cut the rhombus in half to get one diagonal, so you can employ pythagoras (a² + b² = c²) to get the length of that diagonal. then cut it in half again and practise the aforementioned for the other diagonal.
Question

If the area of rhombus is 52 cm sq and its perimeter is 32 cm sq, how do I discover its altitude?

Because a rhomb has four equal sides, split the perimeter by 4 to get the length of the base, then divide that into the area to go the altitude.

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About This Commodity

Commodity Summary X

A rhomb is a shape with four equal sides, each of which is parallel to the reverse side. While a square is a blazon of rhombus, they can also exist diamond-shaped, with angles of greater or less than 90° at each corner. There are several piece of cake ways to find the area of a diamond-shaped rhombus. One is to measure the rhomb diagonally from corner to corner, each way. For instance, let'due south say your rhombus measures ten cm beyond lengthwise and 6 cm beyond widthwise. One time you find the length of each diagonal, multiply the lengths together. In this case, ten cm x 6 cm = 60 cm. Finally, carve up the result by two. Don't forget to square your units when yous write the result, since you're measuring the surface area. sixty/2 = 30, so our rhomb has an expanse of 30 cm squared. Another elementary method is to multiply the base of operations length of the rhombus by its top. Mensurate the width of the bottom line of the rhombus, then have a perpendicular measurement from the base to the reverse line at the top. Multiply the measurements together to find the surface area. For example, if a rhombus is 12 cm long at the base and has a height of 8 cm, the expanse of the rhomb would exist 96 cm squared. If you just know the length of one side of the rhombus and i of the angles, you tin all the same figure out the area using trigonometry. To do this, square the length of the known side, then multiply the result by the sine of one of the angles. For instance, if the rhombus has one side with a length of half dozen cm, and you know information technology contains a 45° angle, the area would be 36 cm squared x sin(45°), or approximately 30.63 cm squared. If yous want to learn how to use trigonometry to detect the area of the rhombus, keep reading the commodity!

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