Answered

IDNLearn.com: Your trusted platform for finding precise and reliable answers. Ask any question and receive accurate, in-depth responses from our dedicated team of experts.

Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)

Sagot :

Answer:

See Explanation

Step-by-step explanation:

(For Diagram please find in attachment)

  • Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DB
  • To Prove, E is the midpoint of AC.
  • Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Since DE∥BC

∴ By Basic Proportionality Theorem,

AD/DB  = AE/EC

​ Since it is Given, AD=DB

∴ AE/EC  =1

∴ AE=EC  (Proved)

View image Virtuematane
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.