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The answer depends on what information you do have about the rhombus. Assuming that you know the length of the sides and one of the diagonals, then,
- In the triangle formed by the given diagonal and the sides of the rhombus, you know all three sides. So you can use the cosine rule to calculate the angle between the sides of the rhombus.
- The other pair of angles in the rhombus are its supplement.
- So now you know two sides and the included angle of the triangle formed by the missing diagonal and the sides of the rhombus.
- You can use the cosine rule again to find the missing diagonal.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoA rhombus has 2 diagonals and they are a straight lines drawn opposite to its interior corners intersecting each other at right angles.
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What is the area in terms of x of a rhombus with one diagonal that is 4 times the other diagonal?
Diagonals of a rhombus are perpendicular so the product is the area. If x is the smaller diagonal, the longer is 4x, and the area if 4x2.
Find the area of a Rhombus whose side is 6cm and altitude is 4cm. If one of the diagonal is 8cm long find the length of the other diagonal?
Rhombus Area = side x height = 6 cm x 4 cm = 24 cm2In the right triangle formed by the side and the height of the rhombus, we have:sin (angle opposite to the height) = height/side = 4 cm/6cm = 2/3, so thatthe angle measure = sin-1 (2/3) ≈ 41.8⁰.In the triangle formed by two adjacent sides and the required diagonal, which is opposite to the angle of 41.8⁰ of the rhombus, we have: (use the Law of Cosines)diagonal length = √[62 + 62 -2(6)(6)cos 41.8⁰] ≈ 4.3Thus, the length of the other diagonal of the rhombus is about 4.3 cm long.
How do you find the area of a missing side of a cuboid?
The answer depends on what information is provided: the volume, total surface area, principal diagonal, minor diagonal, etc.
What is the measure of a rhombus?
The answer to this question depends on what characteristic of a rhombus you are measuring: the length of its sides, its perimeter, area, length of diagonal, its acute angles, its obtuse angles, or something else.
What quadrilaterals have diagonal that bisect each other?
A parallelogram a rectangle a square and a rhombus
What is a diagonal property of rhombus?
The diagonals of a rhombus are perpendicular and intersect each other at right angles which is 90 degrees
What is the area of a rhombus with a perimeter diagonal?
it is impossible for a diagonal of a rhombus to be the same length as its perimeter
The perimeter of a rhombus is 40cm and the length of one diagonal is 16cm find the length of the other diagonal?
The length of the other diagonal works out as 12cm
What is the area of a rhombus with a perimeter of 20 meters and a diagonal of 8 meters?
Constructing the figure, we find the other diagonal to have length 10.The area of the rhombus would thus be 10x8x0.5=40
Find out What is quadrilateral whose diagonal or perpendicular to each other but unequal?
It is a rhombus or a kite
Does a diagonal of a rhombus have to bisect two angles of the rhombus?
Yes.
How do I find the area of a rhombus with just one diagonal?
If side is given too, then you can find area with one diagonal. As diagonals bisect each other in a rhombus at 90°, Using Pythogoras Theorem: (Half d1)² = (side)² - (Half d2)²
The diagonals of the rhombus are in the ratio 3 4 the perimeter of the rhombus is 40cm find the lengths of the sides and of the diagonals?
The length of the sides of the rhombus are 10cm, as a rhombus has equal sides. since the diagonals of a rhombus are perpendicular, ratio of side of rhombus to 1/2 a diagonal to 1/2 of another diagonal is 5:4:3 (pythagorean thriple), hence ratio of side of rhombus to 1 diagonal to another diagonal is 5:8:6. since 5 units = 10cm 8 units = 16cm 6 units = 12cm and there are your diagonals.
Does a rhombus have a diagonal?
Yes.Yes.Yes.Yes.
Find the area of the rhombus whose perimeter is 80m and one of whose diagonal is 24?
123
Do the diagonals of a rhombus bisect its opposite angles?
Yes. In a rhombus (and in a square), the opposite angles that each diagonal connects are bisected by the diagonal.
What is the missing diagonal of a rhombus if the area is 120ft2 and the other diagonal is 16 feet?
Given: The area of the rhombus is 120 square feet The diagonal of the rhombus is 16 feet think of the rhombus being two identical triangles, connected at their base which is 16 feet long. Each of them would then have an area of 60 feet. Now, in a triangle, area = (base * height) / 2 the area is already given as 60, and the base as 16 we can say then: 60 = (16 * h) / 2 ∴60 = 8h ∴h = 7.5 Now, that 7.5 is half the length of the rhombus (as it's the height of one of our triangles, which each are half our rhombus). So we know that that the other diagonal on the rhombus is twice that. In other words, the answer is 15.
