Trapezium diagonals

It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC.

Result

x =  10 cm

Solution:

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Next similar examples:

1. KLMN
In the trapezoid KLMN is given this informations: 1. segments KL and MN are parallel 2. segments KL and KM has same length 3. segments KN, NM and ML has same length. Determine the size of the angle KMN.
2. Isosceles trapezoid v3
In an isosceles trapezoid ABCD is the size of the angle β = 81° Determine size of angles α, γ and δ.
3. Persons
Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.
4. Line
It is true that the lines that do not intersect are parallel?
5. Slope
Find the slope of the line: x=t and y=1+t.
6. Supplementary angles
One of the supplementary angles are three times larger than the other. What size is larger of supplementary angles?
If Petra read 10 pages per day, she would read the book two days earlier than she read 6 pages a day. How many pages does a book have?
8. Slope RR
A line has a rise of 2 and a run of 11. What is the slope?
9. Reference angle
Find the reference angle of each angle:
10. Equations - simple
Solve system of linear equations: x-2y=6 3x+2y=4
11. Fifth of the number
The fifth of the number is by 24 less than that number. What is the number?
12. V - slope
The slope of the line whose equation is -3x -9 = 0 is
13. The ball
The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
14. Percentage 10
52 shorts and missed 13. Calculate percentage
15. Mushrooms
Eva and Jane collected 114 mushrooms together. Eve found twice as much as Jane. How many mushrooms found each of them?
16. Hotel rooms
In the 45 rooms, there were 169 guests, some rooms were three-bedrooms and some five-bedrooms. How many rooms were?
17. Three brothers
The three brothers have a total of 42 years. Jan is five years younger than Peter and Peter is 2 years younger than Michael. How many years has each of them?