Question: Show that the side c of any triangle ABC is related to the perpendicular h from C to side AB by the equation c =

Show that the side c of any triangle ABC is related to the perpendicular h from C to side AB by the equation

c = h cot A + h cot B.

Step by Step Solution

★★★★★

3.23 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We shall make advantage of the fact that the tangent of an acute angle in any right triangle equals ... 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 Basic Technical Mathematics Questions!

Q:

The side c of a triangle is determined by measuring the sides a, b and angle C. If the small changes in the sides and angle are given by da, db, dc and dC respectively, then show that: dc=cos B da...

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Q:

EXERCISE - I sint A-B) sint A+ B) 11. In AABC, 1. In a triangle ABC, a = 5, b=7 and sin A 4. how many such triangles are possible 1) 1 2)0 3) 2 4) Infinite B-C 2. If tan 2. x cot then x= 12. If...

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:

MATH 115 QUIZ 5 NAME: _______________________________ May-July, 2016 Instructor: B. Stec I have completed this assignment myself, working independently and not consulting anyone except the...

Q:

L= 9x+7y+4 = 0. The locus of the centroid 2) 9x+7y+22=0 the lin vear 2D & 3D GEOMETRY 1.Locus and C' is of triangle ABC is the line 1) 3x EXERCISE -I 1) 9x 7y 22 =0 4) 27x+2ly-78=0 3) 2x A straight...

Q:

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

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:

Question 1. (05.04 MC) If E measures 45, F measures 98, and e is 5 feet, then find f using the Law of Sines. Round your answer to the nearest foot. triangle EFG with side e across from angle E, side...

Q:

1. A translation can be defined as moving a figure to a new location with no change to the size or shape of the figure? True Fals e 2 points QUESTION 2 1. The following is an example of a...

Q:

This exercise is an extension of Exercise 2-3A. Assume Alice Stern completed the following additional transactions during February. Show the effect of each transaction on the basic elements of the...

Q:

Suppose a firm finds that the marginal product of capital is 60 and the marginal product of labor is 20. If the price of capital is $6 and the price of labor is $2.50, describe how the firm should...

Q:

2 When you raise your hand to turn the page of this book, what kind of energy does your hand have?

Q:

The following table lists a portion of the average math SAT scores for each state for the year 2009.The complete data set can be found on the text website and is labeled Math SAT 2009. a. Construct a...

Q:

The table shows the 2012 GSS data on gender and political party identification from Exercise 11.1. (The row totals are slightly different from the second table in Exercise 11.24 because selecting...

Q:

The table shows 2012 GSS data on marital and general happiness for married respondents. a. The chi-squared test of independence has X 2 = 214. What conclusion would you make using a significance...

Q:

When comparing the cell-derived flu vaccine mentioned in Example 9 to a more traditionally manufactured egg-derived vaccine, the following data were obtained. a. Find the relative risk of developing...

Q:

If you have the following prices for three stocks, what is the price weighted index value? After Three-for One Before Split Split by Stock A Prices Prices 60 20 portfolios on the capital market line...

Q:

Derek can deposit 11 000 on each birthday beginning with his 25th and ending with his 65th What will the rate on the retirement account need to be for him to have 53 000 000 int when he retires on...

Q:

You buy a 10 percent, 30 -year, $1,000 par value floating rate bond in 1999 . By the year 2004 , rates on bonds of similar risk are up to 12 percent. What is your one best guess as to the value of...