A parallelogram has sides with lengths of #14 # and #11 #. If the parallelogram's area is #84 #, what is the length of its longest diagonal?
Length of the longest diagonal AC = 24.6576
Given Area of the parallelogram = l * h = 84 AE = DF = a = sqrt(w^2-h^2) = sqrt(11^2 - 6^2) = 9.2195# AF = l + a = 14 + 9.2195 = 23.9125# Longest diagonal AC
By signing up, you agree to our Terms of Service and Privacy Policy
You can find the length of the longest diagonal of the parallelogram using the formula:
[ \text{Area} = \frac{1}{2} \times d_1 \times d_2 ]
Given that the area is 84 and the sides are 14 and 11, you can solve for the longest diagonal (d_1):
[ 84 = \frac{1}{2} \times 14 \times d_1 ] [ 168 = 14 \times d_1 ] [ d_1 = \frac{168}{14} ] [ d_1 = 12 ]
So, the length of the longest diagonal (d_1) is 12 units.
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.
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.
- What is a quadrilateral with one pair of parallel sides and one pair of sides which are not parallel called?
- A parallelogram has an area of 307.2 square kilometers and a base of 16 kilometers. What is the height?
- Can a kite be a rhombus or a square?
- Two opposite sides of a parallelogram each have a length of #9 #. If one corner of the parallelogram has an angle of #(2 pi)/3 # and the parallelogram's area is #18 #, how long are the other two sides?
- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 1 #. If the angle between sides A and C is #(7 pi)/12 #, what is the area of the parallelogram?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7