# Two rhombuses have sides with lengths of #13 #. If one rhombus has a corner with an angle of #(7pi)/8 # and the other has a corner with an angle of #(pi)/6 #, what is the difference between the areas of the rhombuses?

Difference between the areas of the rhombuses is

By signing up, you agree to our Terms of Service and Privacy Policy

To find the difference between the areas of the two rhombuses, we first need to calculate the area of each rhombus.

The area of a rhombus can be found using the formula: ( Area = \frac{1}{2} \times d_1 \times d_2 ), where ( d_1 ) and ( d_2 ) are the lengths of the diagonals.

For the rhombus with an angle of ( \frac{7\pi}{8} ), we can calculate the lengths of its diagonals using trigonometry. Since the given angle is ( \frac{7\pi}{8} ), we know that the acute angle of this rhombus is ( \frac{\pi}{8} ) (angles in a rhombus are congruent). Using trigonometric ratios, we can find the lengths of the diagonals.

For the rhombus with an angle of ( \frac{\pi}{6} ), we can similarly calculate the lengths of its diagonals using trigonometry.

Once we have the lengths of the diagonals for each rhombus, we can plug them into the area formula to find the areas of the two rhombuses. Then, we subtract the smaller area from the larger area to find the difference between their areas.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #7 # and sides C and D have a length of # 6 #. If the angle between sides A and C is #(3 pi)/8 #, what is the area of the parallelogram?
- A quadrilateral is a ______ if and only if its diagonals are perpendicular?
- A parallelogram has sides with lengths of #16 # and #9 #. If the parallelogram's area is #24 #, what is the length of its longest diagonal?
- Two rhombuses have sides with lengths of #1 #. If one rhombus has a corner with an angle of #(7pi)/12 # and the other has a corner with an angle of #(pi)/4 #, what is the difference between the areas of the rhombuses?
- Two rhombuses have sides with lengths of #1 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(11pi)/12 #, what is the difference between the areas of the rhombuses?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7