Using vectors, prove that the line segment joining the midpoints of two sides of a triangle is

Question:

Using vectors, prove that the line segment joining the midpoints of two sides of a triangle is parallel to, and one-half the length of, the third side.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books

Question Posted: Mar 22, 2023 04:48 AM

See More Questions

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.
Prove, using vector methods, that the line segment joining the midpoints of two sides of a triangle is parallel to the third side.
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...
Predicting Genetic disorders in Children based on their Medical information and History Hereditary diseases is becoming more of a problem as human population grows exponentially. Genetic testing...
The relevance of variance and covariance developed for random variables in this chapter carries over to the analysis of returns on real stocks. The data file daily _ stocks includes the daily...
Fattal Holding is a regional organisation operating in the Middle East and North Africa region, with a total of 932 employees in Fattal Lebanon, 220 in Syria, 140 in Jordan, 110 in Iraq, 50 in the...
How do you recognize a nonlinear vibration problem?
Selected transactions during August between Summit Company and Beartooth Co. are listed in Problem 5-4A. In Problem 5-4A. The following selected transactions were completed during August between...
In providing accounting services to small businesses, you encounter the following situations. 1. 2. Waterway Corporation rings up cash sales and sales taxes separately on its cash register. On April...
In Exercises find the distance between the point and the line given by the set of parametric equations. (1, -2, 4); x = 2t, y = t - 3, z = 2t + 2
Using vectors, prove that the diagonals of a parallelogram bisect each other.
Explain why the definition of reduced form ensures that each leftmost variable in a reduced system appears in one and only one equation and no equation contains more than one leftmost variable....
A team of automotive engineers want to compare the lifetimes of two brands of tire. They obtain samples of seven tires of each brand. On each of seven cars, they mount one tire of each brand on each...
The article "Approximate Methods for Estimating Hysteretic Energy Demand on Plan-Asymmetric Buildings" (M. Rathhore, A. Chowdhury, and S. Ghosh, Journal of Earthquake Engineering, 2011: 99-123)...
The article "Predicting Depressed Patients with Suicidal Ideation from ECG Recordings" (A. Khandoker, V. Luthra, et al., Med Biol Eng Comput, 2017: 793-805) reports a study in which systolic blood...
Write the body for a function that replaces each copy of an item in a stack with another item. Use the following specification. (This function is in the client program.) ReplaceItem(StackType& stack,...
In a sample of 80 light bulbs, the mean lifetime was 1217 hours. Assume the population standard deviation is 52 hours. a. Find a 95\% confidence interval for the mean lifetime of this type of light...
Why will more voltage be induced with the apparatus shown above if an iron core is inserted in the coils?
Use the T account for Cash below to record the portion of each of the following transactions, if any that affect cash. How do these transactions affect the companys liquidity? Jan. 2 Provided...
Approximate the change in the volume of a right circular cone of fixed height h = 4 m when its radius increases from r = 3 m to r = 3.05 m (V(r) = r 2 h/3).
An object travels on the x-axis with a velocity given by v(t) = 2t + 5, for 0 t 4. a. How far does the object travel, for 0 t 4? b. What is the average value of v on the interval [0, 4]? c. True...
Find all the roots of the following functions. Use preliminary analysis and graphing to determine good initial approximations. f(x) = x 2 (x - 100) + 1
Constraint Solving Question 12 (3 Points). Consider the following constraint system. The variables are X = {x1,x2} with domains x1 D = [0,1] and x2 D = [0,1]. The constraints are C x1 x2 +0.2 C2 x1 =...
How does TCP direct data it has received to the correct process waiting for it?
With respect to Ethernet, discuss the purpose and mechanism of the ARQ protocol. What is the major advantage that"sliding window" provides compared to stop-and-wait? Illustrate your answer with a...

Using vectors, prove that the line segment joining the midpoints of two sides of a triangle is

Question:

Step by Step Answer:

Let the triangle have vertices at 0 0 a0 a...View the full answer

Calculus

Students also viewed these Mathematics questions