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What is the area of rhombus ABCD if AC equals 12 and BD equals 7?
The 2 lengths that you described are diagonals. The area of a rhombus when you know the diagonals is half the product of the diagonals:Area = (1/2) * ( 12 * 7) = 42.The way this works: for a rhombus, the diagonals bisect each other (they intersect at the other's midpoint), so split this into two identical triangles BCD and BAD.The area of one of these triangles is (1/2) * Base * Height, with Base = length of BD, and Height = 1/2 length of AC.So area of one triangle = (1/2) * BD * ((1/2)*AC), and area of rhombus is 2 * area of triangle, so you have 2 * (1/2) * BD * ((1/2)*AC) = (1/2) * (BD) * (AC)
What is the length of each side of a rhombus with a perimeter of 64 and why?
It 16 because the 4 sides of a rhombus are equal and 4*16 = 64
What is the area of rhombus DEFG if DF equals 10 and EG equals 11?
The diagonals of a rhombus are perpendicular to each other and bisect one another. So you can consider the diagonals dividing the rhombus into 4 identical, right-angled triangles where the sides subtending the right angle are of length 10/2 and 11/2. The area of each of these triangles is 1/2 * 10/2 * 11/2 = 110/8 There are 4 such triangles, so their combined area is 4 * 110 / 8 = 110 / 2 = 55 square units.
A rhombus is a parallelogram?
Yes. A parallelogram has two pairs of opposite sides parallel (and each pair of equal length). A rhombus has two pairs of opposite sides parallel (and each of those pairs of opposite sides are of equal length), thus it is a parallelogram. It is a special case of parallelogram where all four sides are equal in length, not just the opposite pairs.
Which figure has 4 pairs of parallel lines and 8 obtuse angles?
The figure that has 4 pairs of parallel lines and 8 obtuse angles is a rectangular shape known as a rhombus. A rhombus is a quadrilateral with all sides of equal length and opposite angles of equal measure. In a rhombus, each pair of opposite sides are parallel to each other, resulting in 4 pairs of parallel lines. Additionally, since a rhombus has 4 angles greater than 90 degrees, it will have a total of 8 obtuse angles.
In rhombus abcd bd equals 6 and ac equals 8 what is the length of each side?
5 units
In rhombus ABCD BD 18 AC 24 What is the length of each side?
84
The perimeter of a rhombus is 64 inches what is the length of each side of the rhombus?
16
In which quadrilateral are the diagonals always congruent?
The diagonals of a rhombus are always congruent. A rhombus is a quadrilateral with all sides of equal length. Due to its symmetry, the diagonals of a rhombus bisect each other at right angles, and they are always of the same length. This property distinguishes a rhombus from other quadrilaterals like rectangles or parallelograms.
What is the length of one side if the perimeter of a rhombus is 105 dm?
Each side of the rhombus will have a length of 105/4 = 26.25 dm
What is the length of each side of a rhombus with a perimeter of 64?
16 units of length
Is every rhombus with 4 congruent sides a square?
A rhombus is a shape with 4 sides (a quadrilateral). Each side is of equal length, it could be a diamond shape, but if it's internal angles are each 90 degrees then it will be a square. Its not 390 it equals 360 .
What is different between rhombus and the parallelogram?
In a rhombus each of the sides is of the same length whereas in a parallelogram, each pair of opposite sides is of the same length but the two pairs are different.
F the perimeter of a rhombus is 84 inches what is the length of each side of the side rhombus?
A rhombus is like a square that has had two opposite corners pulled out. That is, the side lengths are equal. Therefore the length of each side in this case is 21.
What is the area of rhombus ABCD if AC equals 12 and BD equals 7?
The 2 lengths that you described are diagonals. The area of a rhombus when you know the diagonals is half the product of the diagonals:Area = (1/2) * ( 12 * 7) = 42.The way this works: for a rhombus, the diagonals bisect each other (they intersect at the other's midpoint), so split this into two identical triangles BCD and BAD.The area of one of these triangles is (1/2) * Base * Height, with Base = length of BD, and Height = 1/2 length of AC.So area of one triangle = (1/2) * BD * ((1/2)*AC), and area of rhombus is 2 * area of triangle, so you have 2 * (1/2) * BD * ((1/2)*AC) = (1/2) * (BD) * (AC)
How is a rhombus and a parallelogram different?
a rhombus and a parallogram are diffrent from each other beacuse the sides of a rhombus are some not equal to each other * * * * * The above answer is the wrong way around. All four sides in a rhombus must be of the same length. In a parallelogram, the pair of opposite sides must be of the same length, but each pair can be different from the other.
Which quadrilaterals have diagonals that bisects each other?
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus
