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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.
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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
