Question: Assume ABC is a right triangle, ZC = 90. Let CM be the median, i.e. M is the midpoint of AB. Prove that AB

Assume ABC is a right triangle, ZC = 90. Let CM be

Assume ABC is a right triangle, ZC = 90. Let CM be the median, i.e. M is the midpoint of AB. Prove that AB = 2CM.

Step by Step Solution

★★★★★

3.44 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

CM divides triangle ABC into two equal tria... 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 Accounting Questions!

Q:

Scenario: Absco, Inc., is a calendar year - end clothing manufacturer that sells exclusively to retailers. It engages in a large number of contracts with its customers. Absco signed a contract with...

Q:

Show that the triangle ABC is a right triangle if the vertices are A(6, 3,3), B(3, 1, -1), and C(-1, 10, -2.5).

Q:

Let triangle ABC be equilateral, with AB = 1. Show that if we select 10 points in the interior of this triangle, there must be at least two whose distance apart is less than 1/3.

Q:

Let E be a Jordan region in Rn. a) Prove that E and are Jordan regions. b) Prove that Vol(Eo) = Vol() = Vol(E). c) Prove that Vol(E) > 0 if and only if E 0. d) Let f: [a, b] R be continuous on [a,...

Q:

Morgan Company is a domestic company engaged in manufacturing office supplies it sells to stores throughout the U.S., Europe and Asia. Morgan also owns the following subsidiary: Henri is a French...

Q:

UNDERSTAND PRACTICE 10. Error Analysis Kendall was asked to find 16. Trace ABCD and point P. the scale factor for the dilation. What is Draw the dilation of Kendall's error? ABCD using P as the...

Q:

GRADE 9--- MATHEMATICS 9 Name: Grade&Section: Date: LEARNING ACTIVITY SHEET PROVING THE MIDLINE THEOREM I. Background Information for Learners These activity sheets serve as your self-learning guide...

Q:

13:33 35) Which of the following would be enough information to prove that quadrilateral QRST is a parallelogram? a) OR = ST c) OP =PS and TP = PR - - b) OR IST d) Two pairs of sides are congruent....

Q:

5 page2.jpg" />9 page6.jpg" />5 page1.jpg" />5 page2.jpg" />6 page2.jpg" />5 page1.jpg" />9 page6.jpg" />9 page5.jpg" />9 page5.jpg" />9 page4.jpg" />9 page3.jpg" />8 page3.jpg" />8 page2.jpg" />8...

Q:

Jason uses the following steps to construct a perpendicular line through a point C on a line segment. Step 1: From point C, draw an arc intersecting the line segment in points A and B. Step 2: Using...

Q:

5 work assignment. DOODD " MATH - 2 PART 1 30 questions, 30 minutes 1. If s = 3x2 - 4y and t = 5x + 7y, then what is the value of s + ?? PART 1 A. 3.x2 + 5x + 3y B. 3x2 + 5x - 1ly C. 3.x2 D. 8x2 +...

Q:

A pulsed current has a constant value of 15 A for the first 0.1 s of each second and is then 0 for the next 0.9 s of each second. (a) What is the rms value for this current waveform? (b) Each current...

Q:

PART A. ANSWER ALL QUESTIONS. 1. (a) What is meant by labor-intensive commodity, Capital- labor ratio and labor abundant nation? (3 marks) (b) What is the reason for increasing opportunity costs? (2...

Q:

1.16 Figure 1.27 shows the current through and the voltage across an element. (a) Sketch the power delivered to the element for t > 0. (b) Find the total energy absorbed by the element for the period...

Q:

Amber, a publicly held corporation, currently pays its president an annual salary of $900,000. As a means of increasing company profitability, the board of directors increased the presidents...

Q:

Estimate the critical density of the universe.

Q:

Find H (jw) if its magnitude characteristic is shown in fig 27.

Q:

If you select a simple random sample of M&M plain candies and construct a normal quantile plot of their weights, what pattern would you expect in the graph?

Q:

Two airplanes are performing at an air show. Plane A travels along the path shown and, for the instant under consideration, has a speed of 265 mi/hr that is increasing at a rate of 4 mi/hr every...

Q:

Change the verbs from the present tense to the passato prossimo to tell what the following people did last night. Pay attention to which verbs use avere in the passato prossimo and which use essere!...

Q:

(a) Extend Definition 11.13 to directed graphs. (b) Determine whether the directed graphs in Fig. 11.31 are isomorphic Figure 1131

Q:

For ra, n, r Z+, let p(m, n, r) count the number of partitions of ra into at most n (positive) summands each no larger than r. Evaluate P(k(n + 1), n, n), n Z+. -3

Q:

For E = {0, 1}, let A *, where A = {00, 111}. How many strings in A* have length 19?

Q:

Describe the subcultures to which you belong. Identify buying behavior that is unique to one of your subcultures.

Q:

Describe the current competitive market for your product. Can you identify the number of brands or market share they hold? Expand your analysis to include other products that are similar or could be...

Q:

Which criticisms of promotion do you believe are the most valid? Why?