Medians 2:1

Median to side b (tb) in triangle ABC is 12 cm long.
a. What is the distance of the center of gravity T from the vertex B?
b, Find the distance between T and the side b.

Result

x =  8 cm
y =  4 cm

Solution:

t=12 cm x=23 t=23 12=8 cmt=12 \ \text{cm} \ \\ x=\dfrac{ 2 }{ 3 } \cdot \ t=\dfrac{ 2 }{ 3 } \cdot \ 12=8 \ \text{cm}
y=tx=128=4 cmy=t-x=12-8=4 \ \text{cm}



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





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

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Height 2
    1unilateral_triangle Calculate the height of the equilateral triangle with side 38.
  2. Possible lengths
    triangles Find the most possible lengths for the third side of a triangle with sides 20 and 18.
  3. Painters
    malovka2_3 Six of the painters paint 90 m of fence in five hours. For how long would the 4 painters paint a 45 meter fence? How many meters fence painted painters 5 for two hours?
  4. Cableway
    cable-car Cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than the base station.
  5. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  6. Thomas
    mapa_ta3_4 Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m and Samko from Robo 500. Anton lives 300 meters away from Robo further as Samko. How far away lives Anton from Rob?
  7. Triangle ABC
    rozbor_triangle Construct a triangle ABC is is given c = 60mm hc = 40 mm and b = 48 mm analysis procedure steps construction
  8. Wiring 2
    cu_wire_3 Willie cut a piece of wire that was 3/8 of the total length of the wire. He cut another piece that was 9m long. The two pieces together were one half of the total length of the wire. How long was the wire before he cut it?
  9. Proportion 2
    car_25 A car is able to travel 210 km in 3 hours. How far can it travel in 5 hours? Put what kind of proportion is this and show your solution.
  10. Fractions
    zlomky_13 Three-quarters of an unknown number are 4/5. What is 5/6 of this unknown number?
  11. In fractions
    ant An ant climbs 2/5 of the pole on the first hour and climbs 1/4 of the pole on the next hour. What part of the pole does the ant climb in two hours?
  12. Scale of the map
    meritko Determine the scale of the map if the actual distance between A and B is 720 km and distance on the map is 20 cm.
  13. Simple equation 6
    eq1_9 Solve equation with one variable: X/2+X/3+X/4=X+4
  14. Poplar
    topole How tall is a poplar by the river, if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root and 35m from the trunk to the top of the poplar?
  15. Seamstress
    textiles_2 The seamstress cut the fabric into 3 parts. The first part was the eighth fabric, the second part was three-fifths of the fabric and the third part had a length of 66 cm. Calculate the original length of the fabric.
  16. Jose and Kaitlyn
    ball_f_4 Jose and Kaitlyn have a contest to see who can throw a baseball the farthest. Kaitlyn wins, with a throw of 200 ft. If Jose threw the ball 3/4 as far as Kaitlyn, how far did Jose throw the ball?
  17. Percents
    percents2_10 How many percents is 900 greater than the number 750?