Question

Let △ ??? be a triangle with centroid ? and medians ??′, ??′, and ??′. Prove...

Let △ ??? be a triangle with centroid ? and medians ??′, ??′, and ??′. Prove that the six triangles △ ??′?, △ ???′, △ ??′?, △ ???′, △ ??′?, and △ ???′ all have equal areas.

Please prove with an image and numbered style

Math   Geometry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given: the medians divide a triangle into 6 smaller triangles. Prove: The area of all the...
Given: the medians divide a triangle into 6 smaller triangles. Prove: The area of all the triangles are the same
Name the point of concurrency for the medians of a triangle. Please explain your choice. 1....
Name the point of concurrency for the medians of a triangle. Please explain your choice. 1. incenter 2. centroid 3. orthocenter 4. circumcenter
Let △ ??? be a triangle. Prove that ? = 2? if and only if △...
Let △ ??? be a triangle. Prove that ? = 2? if and only if △ ??? is equilateral.
33. Prove that the circumcenter, O, the centroid, G, and orthocenter, H, lie on a common...
33. Prove that the circumcenter, O, the centroid, G, and orthocenter, H, lie on a common line, known as the Euler line of the triangle. (Hint: One way to approach this proof is to construct the line containing O and G. Then find a point X on OG such that G is between O and X, and 2|OG| = |OX|. Show that this point X is on all three altitudes, and hence X is the orthocenter G.)
NON EUCLIDEAN GEOMETRY Prove the following: Claim: Let AD the altitude of a triangle ▵ABC. If...
NON EUCLIDEAN GEOMETRY Prove the following: Claim: Let AD the altitude of a triangle ▵ABC. If BC is longer than or equal to AB and AC, then D is the interior of BC. What happens if BC is not the longest side? Is D still always in the interior of BC? When is D in the interior?
Let ? be a flow network, and let ? be a flow for ?. Prove that...
Let ? be a flow network, and let ? be a flow for ?. Prove that for any cut, x, of ?, the value of ? is equal to the flow across cut x, that is, |?| = ?(x). Use an induction proof on the number of vertices in set ? of the cut. That is, the base case would be |?| = 1, where ? = {?}. Please use induction to prove it.
Let G be a connected simple graph with n vertices and m edges. Prove that G...
Let G be a connected simple graph with n vertices and m edges. Prove that G contains at least m−n+ 1 different subgraphs which are polygons (=circuits). Note: Different polygons can have edges in common. For instance, a square with a diagonal edge has three different polygons (the square and two different triangles) even though every pair of polygons have at least one edge in common.
Let A = (2, 9), B = (6, 2), and C = (10, 10). Verify that...
Let A = (2, 9), B = (6, 2), and C = (10, 10). Verify that segments AB and AC have the same length. Measure angles ABC and ACB. On the basis of your work, propose a general statement that applies to any triangle that has two sides of equal length. Prove your assertion, which might be called the Isosceles-Triangle Theorem.
Prove the following Let f : A → B then, for all D, E ⊆ A...
Prove the following Let f : A → B then, for all D, E ⊆ A and for all G, H ⊆ B we have f-1(G ∪ H) = f-1(G) ∪ f-1(H)
prove: Let the real number x have a Base 3 representation of: x = 0.x0x1x2x3x4x5x6x7… where...
prove: Let the real number x have a Base 3 representation of: x = 0.x0x1x2x3x4x5x6x7… where xi  is the ith digit of x. Then, if xi ={ 0 , 2 } (or xi not equal to 1) for all non-negative integers i, then x is in the Cantor set (Cantor dust). Think about induction.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT