Calculating the Height of a Trapezium Using Given Side Lengths

  • MHB
  • Thread starter mathlearn
  • Start date
  • Tags
    Area
In summary, the conversation discusses finding the area of a trapezium with given measurements of AB, DC, and BE, and determining the height using the formula for the area.
  • #1
mathlearn
331
0
View attachment 5786

AB = (x + 3) cm, DC = (2x − 3) cm and BE = EC.

area of the trapezium is 15 cm^2 \therefore,(x + 3) (2x − 3) or ? i think you should find the are and use the squarootcan you help me to proceed.
 

Attachments

  • Capture.PNG
    Capture.PNG
    6.8 KB · Views: 83
Mathematics news on Phys.org
  • #2
mathlearn said:
AB = (x + 3) cm, DC = (2x − 3) cm and BE = EC.

area of the trapezium is 15 cm^2 \therefore,(x + 3) (2x − 3) or ? i think you should find the are and use the squarootcan you help me to proceed.

Not even close.

The formula for the area of a trapezium is $\displaystyle \begin{align*} A = \frac{1}{2}\,\left( a + b \right) \,h \end{align*}$, where a and b are the parallel sides and h is the height.

Can you get an expression for the height in terms of x?
 

FAQ: Calculating the Height of a Trapezium Using Given Side Lengths

What is the formula for finding the area of a trapezium?

The formula for finding the area of a trapezium is (a + b) * h / 2, where a and b are the lengths of the parallel sides and h is the height.

What are the units of measurement for the area of a trapezium?

The units of measurement for the area of a trapezium will depend on the units used for the length and height measurements. The resulting area will be in square units, such as square meters or square inches.

How do I label the sides and height of a trapezium when using the formula?

One way to label the sides and height of a trapezium is to use the letters a and b for the parallel sides and h for the height. Another common labeling method is to use base 1 and base 2 for the parallel sides and height for the height.

Can I find the area of a trapezium if I only know the lengths of the parallel sides?

Yes, you can find the area of a trapezium if you only know the lengths of the parallel sides. You will also need to know the height of the trapezium. If the height is not given, you can use the Pythagorean theorem to calculate it.

Are there any real-life applications for finding the area of a trapezium?

Yes, finding the area of a trapezium is useful in many real-life situations, such as calculating the area of a trapezoidal roof, determining the area of a trapezoidal field or garden bed, and finding the area of a trapezoidal prism in geometry and physics problems.

Similar threads

MHB What is the length of DC in this trapezium?
Replies
11
Views
3K
MHB From a sketch to the compass ; Geometric construction
Replies
8
Views
2K
MHB How Do You Calculate the Area of a Shaded Segment of a Circle?
Replies
1
Views
1K
MHB How can I find the area of a triangle with a given angle and two sides?
Replies
2
Views
937
MHB [ASK] Find the volume of Pyramid in a Cube
Replies
6
Views
2K
MHB How Do You Calculate the Slant Height of a Cone?
Replies
2
Views
2K
MHB Solving a Primary Math Problem: Find the Areas of A & C
Replies
10
Views
2K
MHB Find side length, cirumference and area of octagon
Replies
3
Views
2K
MHB Find the volume of the hexagonal-shaped plastic box
Replies
4
Views
1K
MHB Find the area of the shaded region
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top