Question: Use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its

Use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Step by Step Solution

★★★★★

3.41 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Consider triangle ABC where D and E are the midpoints of ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

Prove, using vector methods, that the line segment joining the midpoints of two sides of a triangle is parallel to the third side.

Q:

Show that the line through the midpoints of two sides of a triangle is parallel to the third side.

Q:

1. What can be said about the vectors u and v under each condition? (a) The projection of u onto v equals u. (b) The projection of u onto v equals 0. 2. Proof Use vectors to prove that the diagonals...

Q:

Jblem 10. (9.2!43) Use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length

Q:

Use vectors to prove that the line connecting the midpoints of two sides of a triangle is parallel to the third side.

Q:

D G Eval * 3.03 X Das G Mat * Cou Thi Join The The D21 Care G pho |203 The Box Syll: |893 Der C Goc G Unc Pari-Re|+ X C & https://memphisvirtual.instructure.com/courses/11901/quizzes/196994/take TP...

Q:

Exercise 1.105: Show that: (a) x (UA) = (U) x A + U (xA) (b) . (AxB) = B. (xA) - A. (xB). Exercise 1.112: if A x B = 8 i - 14 j + k and A + B = 5 i + 3 j + 2 k, find A and B Exercise 1.113: Let l1,...

Q:

THANK YOU FOR THE HELP! X 4. Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side: Given: AABC Prove: The...

Q:

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side: Given: ABC Prove: The midsegment between sidesandis...

Q:

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side: Given: ABC Prove: The midsegment between sides and is...

Q:

Explain the difference between data and information in terms of each being useful to strategists.

Q:

Implement a c++ program to create a class called ConsDemo and overload SumDemo () function. SumDemo (int, char)If passing character is 'p' then print square of passing number otherwise cube of a...

Q:

E19.1 (LO 1) (Pension Expense, Journal Entry) The following information is available for the pension plan of Radcliffe Company for the year 2025. Interest revenue on plan assets $ 15,000 Benefits...

Q:

List several biotic and abiotic factors that interact to give rise to the following biomes: temperate deciduous forest, boreal coniferous forest, desert, tundra, tropical rainforest, and savanna.

Q:

a. Explain why the Power Rule is consistent with the formula b. Prove that the Power Rule holds for n = 3/2. Use the definition of the derivative: d/dx (x 3/2 ) = c. Prove that the Power Rule holds...

Q:

Computing the derivative of f(x) = e -x a. Use the definition of the derivative to show that b. Show that the limit in part (a) is equal to 1. Use the facts that and e x is continuous for all x. c....

Q:

Computing the derivative of f(x) = e 2x a. Use the definition of the derivative to show that

Q:

Suppose you have five coins numbered 1-5. Further, suppose that when coin i is flipped it shows heads with probability i/5. We can generate all possible combinations of values of each of the...

Q:

Answer all only if you know the answers. 1. statistics will be the wide category of figures utilized to draw conclusions about a public. 2. Distributions having a tail pointing towards the left have...

Q:

D. Consider 6-month spot interest rates evolving in the following three-step binomial tree over 24 months, i.e., with 6 months in each of the next three steps. The current 18-month spot interest rate...