0
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.
Add your answer:
Earn +20 pts
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
Is the diagonal of a rhombus congruet?
No but its diagonals intersect each other at 90 degrees
What is the area of a rhombus with diagonals of 12 and 5?
The diagonals bisect each other. Since that is true then the area of the rhombus is the sum of the two triangles. Half of one diagonal times the other diagonal.2(6x5)/2 or 6x5=30
How do you prove the diagonal lines in a parallelogram is not a rhombus?
Because the diagonals of a rhombus intersect each other at 90 degrees whereas in a parallelogram they don't
What is special about the diagonal lines of a Rhombus?
They bisect each other at 90 degrees. They are the perpendicular bisectors of each other.
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
How do I find a missing diagonal in a rhombus?
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.
What are the diagonals of rhombus?
One diagonal of a rhombus is larger than the other diagonal but both diagonals intercept each other at right angles.
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 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.
What is the area of rhombus one side of which measures 20cm and one diagonal 24 cm?
That will depend on the length of the other diagonal because area of a rhombus is 0.5*product of its diagonals.
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
Is the diagonal of a rhombus congruet?
No but its diagonals intersect each other at 90 degrees
Find out What is quadrilateral whose diagonal or perpendicular to each other but unequal?
It is a rhombus or a kite
What is the area of a rhombus with diagonals of 12 and 5?
The diagonals bisect each other. Since that is true then the area of the rhombus is the sum of the two triangles. Half of one diagonal times the other diagonal.2(6x5)/2 or 6x5=30
How do you prove the diagonal lines in a parallelogram is not a rhombus?
Because the diagonals of a rhombus intersect each other at 90 degrees whereas in a parallelogram they don't
What quadrilaterals have diagonal that bisect each other?
A parallelogram a rectangle a square and a rhombus
