SOLUTION: Im doing proofs can you help me with this: Prove: In an equilateral triangle the three medians are equal.
Algebra.Com
Question 688884: Im doing proofs can you help me with this: Prove: In an equilateral triangle the three medians are equal.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Label your equilateral triangle vertices as A, B, and C. Label the intersection of the median from vertex A as D, from vertex B as E, and from vertex C as F.
Since a median connects a vertex with the midpoint of the opposite side, AF = FB, BD = DC, and CE = EA. But since ABC is an equilateral triangle, AB, BC, and CA are all congruent, therefore AF = FB = BD = DC = CE = EA. Then, since ABC is equilateral, it is also by definition equiangular.
Therefore, triangle ABD is congruent to triangle CBF which is in turn congruent to triangle CAF, all by SAS.
Then by CPCT, AD congruent to BE congruent to CF. QED.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
PLEASE HELP!I really don't understand how to do this.
Complete the following proof.... (answered by rothauserc)
Im in need of help with proofs im doing pretty bad, i have a question Given:AB||CD... (answered by ikleyn)
Prove: In an isosceles triangle two medians are equal.... (answered by fcabanski)
What do you do when you have the altitudes and medians in triangle proofs (answered by harpazo)
Please help. I have such a hard time with proofs. I need to prove that an angle bisector... (answered by solver91311)
Hi I need help with problem. I keep getting an impossible answer and i can't figure out... (answered by stanbon,MathLover1)
please help me solve this problem: one side of an equilateral triangle increased by 11 is (answered by ankor@dixie-net.com)
Draw an equilateral triangle each of whose sides is 5.3 cm draw it's medians are they... (answered by macston)
1.The three straight lines y = x, 2y = 7x , and x + 4y - 60 = 0 form a triangle. Find the (answered by ikleyn)
