MHB Calculating the Height of a Trapezium Using Given Side Lengths

  • Thread starter Thread starter mathlearn
  • Start date Start date
  • Tags Tags
    Area
Click For Summary
To calculate the height of the trapezium with bases AB = (x + 3) cm and DC = (2x − 3) cm, the area formula A = 1/2 * (a + b) * h is used, where A is 15 cm². Rearranging the formula allows for the height h to be expressed in terms of x. The next step involves substituting the values of the bases into the area equation to derive an expression for h. This approach will facilitate solving for the height based on the given side lengths. The discussion emphasizes the importance of correctly applying the area formula to find the height.
mathlearn
Messages
331
Reaction score
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: 122
Mathematics news on Phys.org
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?
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

Similar threads

MHB What is the length of DC in this trapezium?
  • · Replies 11 ·
Replies
11
Views
3K
MHB From a sketch to the compass ; Geometric construction
  • · Replies 8 ·
Replies
8
Views
2K
MHB How can I find the area of a triangle with a given angle and two sides?
  • · Replies 2 ·
Replies
2
Views
1K
MHB [ASK] Find the volume of Pyramid in a Cube
  • · Replies 6 ·
Replies
6
Views
3K
MHB How Do You Calculate the Slant Height of a Cone?
  • · Replies 2 ·
Replies
2
Views
3K
MHB Solving a Primary Math Problem: Find the Areas of A & C
  • · Replies 10 ·
Replies
10
Views
2K
MHB Find side length, cirumference and area of octagon
  • · Replies 3 ·
Replies
3
Views
2K
MHB Find the volume of the hexagonal-shaped plastic box
  • · Replies 4 ·
Replies
4
Views
1K
MHB Find the area of the shaded region
  • · Replies 2 ·
Replies
2
Views
1K
MHB Which procedure takes the minimum time to solve modulus functions?
  • · Replies 5 ·
Replies
5
Views
1K