Question: In the given figure, AD ? BC and BD = 1/3CD. Prove that 2AC 2 = 2AB 2 + BC 2 . B D

In the given figure, AD ? BC and BD = 1/3CD. Prove that 2AC2 = 2AB2 + BC2. B D

B D

Step by Step Solution

★★★★★

3.45 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The detailed answer for the above question is provid... 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 Mathematics Questions!

Q:

Find the future value at 4.4%, compounded continuously, for 10 years for the continuous income stream with rate of flow f(t) = 50t 2 . Use Table 1 to evaluate all integrals involved in any solutions...

Q:

Multiply or divide, as indicated. 3 2a? + 2ab + 2b? ac + ad + bc + bd a? b2

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-4. Ivan and Irene paid the following in 2012 (all by check or can otherwise be...

Q:

=+where Ci is the indicator of the event that a domino occupies squares i and i + 1. Similarly prove that Var(Dn) = 2 fn j k fjfkfn4jk + E(Dn) E(Dn) 2. How can you use E(Dn) and Var(Dn) to...

Q:

In the given figure, AD is median of ?ABC and AE ? BC. Prove that b 2 + c 2 = 2p 2 + 1/2 a 2 . E D a b C

Q:

In the given figure, AD = 3 cm, AE = 5 cm, BD = 4 cm, CE = 4 cm, CF = 2 cm, BF = 2.5 cm, then find the pair of parallel lines and hence their lengths. 4 cm B 3 cm, A 2.5 cm F 5 cm E 2 cm 4 cm

Q:

In the given figure, DE || BC and AD : DB = 7 : 5, find frac { arleft( triangle DEF ight) }{ arleft( triangle CFB ight) } [/latex] B E

Q:

The diagrams show the cross-sections of two drawer handles. Shape X is a rectangle ABCD joined to a semicircle with BC as diameter. The length AB = d cm and BC = 2d cm. Shape Y is a sector OPQ of a...

Q:

In the given figure, CD || LA and DE || AC. Find the length of CL if BE = 4 cm and EC = 2 cm. B E A L

Q:

Assessment Overview MGMT90140 Management Competencies Competence Reflection Report Guidelines Assessment Submission Details & Weighting This is an individual assessment that will contribute 15% to...

Q:

Suppose that n red dots and n blue dots are drawn in the plane (for some integer n) with no 3 dots in a line. Prove that there *is* a way to connect each red dot to a different blue dot, which...

Q:

The company TRADISA y evaluating a project, and considering if the should invest in it. The cash flows are: Year 0: - 120.000 Year 1: 26.000 Year 2: 35.000 Year 3: 54.000 Year 4: 60.000 The...

Q:

Multiple Choice Under the USA Patriot Act, insurers are required to report receip A . $ 1 0 , 0 0 0 B . $ 7 , 5 0 0 C . $ 5 , 0 0 0 D . $ 2 , 5 0 0

Q:

Water at 100 kPa, 25C is brought to the boiling point in a piston/cylinder with an isobaric process. The heat is supplied by a heat pump with the cold side at the ambient temperature of 25C. Assume...

Q:

A spring-loaded piston/cylinder contains 1.5 kg air at 27C, 160 kPa. It is now heated in a process in which pressure is linear in volume, P = A + B V , to twice its initial volume, where it reaches...

Q:

Find the transfer function Vo(s)/Vi(s) for the network shown in fig. Discuss.

Q:

A piston/cylinder of total 1 kg steel contains 0.5 kg ammonia at 1600 kPa, both masses at 120C. Some stops are placed that so a minimum volume is 0.02 m 3 , shown in Fig. P6.137. Now the whole system...

Q:

A 5-lbm aluminum radiator holds 2 lbm liquid R-134a at 10 F. The setup is brought indoors and heated with 220 Btu. Find the final temperature and the change in entropy of all the mass.

Q:

Use the substitution u=x2+6to evaluate the following indefinite integral. 2x(x2+6)8dx

Q:

Given figure ABDC is a rhombus which of the work shown below most directly verifies analytically that the diagonals are perpendicular Slope AD 6 Slope BC 2 6 Slope AC 1 3 Slope BD 6 3 Slope AB H 6 0...

Q:

2. D Not to scale 270 B Figure 1 Figure 1 shows the design for a structure used to support a roof. The structure consists of four steel beams, AB, BD, BC and AD. Given AB = 12m, BC = BD = 7m and...

Q:

DIRECTIONS: For each of the following questions, you may only site propositions 6.1, 7.1, 7.2, and 7.3; the incidence axioms, the betweenness axioms, and any definition from sections 6 & 7 of...

Q:

In the given figure, AD is a median of a triangle ABC and AM 1 BC. Prove that: BC 2 (i) (iii) AC = AD + BC.DM+ B ABAD-BC.DM+ AC + AB=2AD + BC A BC 2 M D

Q:

ANSWER PART I, II, AND III 1.1. In the figure below, AACB ~ AADB. Which of the following is TRUE by CPCTC? A. AB bisects CD B. LACE = LEDB C. ZCAB = ZADB D. BC = BD 2. In the figure below, ZC & ZD....

Q:

Use the following to answer question 15 Figure AD AS Aggregate price level LRAS Y YpY SRAS AD AD AD Real GDP A SRAS will shift to the right B SRAS will shift to the left C AD will shift to the right...