SOLUTION: In a triangle ABC de is parallel to Bc and d is the mid point of Side Ab. Find Ae and BC if De=6cm and EC =5 cm
Pls help me in this question as fast as possible
Algebra.Com
Question 1152691: In a triangle ABC de is parallel to Bc and d is the mid point of Side Ab. Find Ae and BC if De=6cm and EC =5 cm
Pls help me in this question as fast as possible
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
If a line intersects the midpoint of one side of a triangle and is parallel to another side of the triangle, then it intersects the third side at its midpoint.
:
Therefore,
:
BC = 2 * ED = 2 * 6 = 12 cm
:
CE = AE = 5 cm
:
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
On the mid-line of a triangle and its properties, see the lesson
- The line segment joining the midpoints of two sides of a triangle
in this site.
Also, you have this free of charge online textbook on Geometry
GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.
The referred lesson is the part of this online textbook under the topic "Properties of triangles".
Save the link to this online textbook together with its description
Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson
to your archive and use it when it is needed.
/\/\/\/\/\/\/\/
Also, in your posts, please use CAPITAL LETTERS consistently and uniformly.
Do respect the tutors, and do respect yourself, as well.
RELATED QUESTIONS
In a triangle ABC,DE is a parallel to BC and D is the mid point of sideAB. Find the... (answered by ikleyn)
In triangle abc at the right de is parallel to be. De is 4 bc is 8 and ae is 5 find... (answered by solver91311)
ABC is a triangle with base = BC . A line segment DE is drawn parallel to Side AC. D is... (answered by ikleyn)
given triangle ABC and segment DE, if AD =2, DB =3, AE =4 and EC =4, is DE parallel to... (answered by nycsub_teacher)
In a triangle ABC, D is a point on side AB and E is the point on AC.
DE parallel to BC.... (answered by greenestamps)
In triangle ABC,D and E are points on the sides AB and AC respectively such that DE... (answered by MathLover1)
in triangle abc in which DE is parallel to BC ,and intersects AB in D and AC in E . If... (answered by b_gulsum)
given the figure Triangle ABC, with point D on line segment AB and point E on line... (answered by aswathytony)
Question : D and E are respectively the points on the sides AB and AC of
a triangle ABC (answered by MathTherapy)