Use the result of Problem 50 and the results of Problems 56 and 57 in Section 8.3
Question:
Use the result of Problem 50 and the results of Problems 56 and 57 in Section 8.3 to show that
where
The lines that bisect each angle of a triangle meet in a single point O, and the perpendicular distance r from O to each side of the triangle is the same. The circle with center at O and radius r is called the inscribed circle of the triangle (see the figure).
cot 2 1. (a + b + c).
Step by Step Answer:
cot 2 COS C 2 sin 2 SC r A B ...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
Use the result of Problem 85 show that Why is this result expected? Va -x dx || 2.
-
Use the result of Problem 34 to obtain the famous formula of Francois Viete (1540-1603) 2 V2 V2 + V2 V2 + V2 + V2
-
Apply the formula from Problem 49 to triangle OPQ to show that The lines that bisect each angle of a triangle meet in a single point O, and the perpendicular distance r from O to each side of the...
-
Protein Blenders, Inc., made a contract with Gingerich to buy from him the shares of stock of a small corporation. When the buyer refused to take and pay for the stock, Gingerich sued for specific...
-
If overhead was materially under-applied for a year, how would it be treated at year-end? Why is this treatment appropriate?
-
Enter the following in the three-column cash book of an office supply shop. Balance off the cash book at the end of the month and show the discount accounts in the general ledger. 20X8 June 11 11 11...
-
Four traffic lights on a stretch of road are spaced \(300 \mathrm{~m}\) apart. There is a 10-s lag time between successive green lights: The second light turns green \(10 \mathrm{~s}\) after the...
-
1. Estimate 3PARs equity value per share based on the assumptions and selected 3PAR data provided in Table. 2. Why is it appropriate to utilize at least a ten-year annual time horizon before...
-
On a winter day, you turn on your furnace and the temperature of the air inside your home increases. Assuming that your home has the normal amount of leakage between inside air and outside air, the...
-
1. We know from the case that Bob and Buford have customers from many different segments. They could segment them by sports, business people, regulars, breakfast, lunch, or dinner crowd. How should...
-
Show that a formula for the altitude h from a vertex to the opposite side a of a triangle is a sin B sin C sin A
-
Show that The lines that bisect each angle of a triangle meet in a single point O, and the perpendicular distance r from O to each side of the triangle is the same. The circle with center at O and...
-
It has been stated that sediment is moved downhill from the site of weathering by running water (ice), or other agents of transportation, under the influence of gravity. Is there an exception to this...
-
B C In-class activities Time Value of Money, Part 2 D E F G H 1. A security has a cost of $1,000 and will return $2,000 after 5 years. What rate of return does the security provide? A 1 2 3 4 5 6 7 8...
-
3. Consider the following set of functional dependencies on the relation schema R = (A, B, C, D, E, F): A BCD a) Compute D+ BC DE AB CD D A b) Find the candidate keys for R B D c) Remove...
-
In the 1960s, Chicano/a activists embraced a nonwhite identity-often calling themselves Indians or mestizos, and denounced Anglo America culture's emphasis on imperialism, militarism, commercialism,...
-
You have a project that is scheduled to be completed in 10 days at a budgeted cost of $100,000. At the end of day 6 you do an analysis and you determine the job is 70% complete and you have spent...
-
The Optical Scam Company has forecast a sales growth rate of 20 percent for next year. Current assets, fixed assets, and short-term debt are proportional to sales. The current financial statements...
-
What is the net benefit obligation (asset)? How is the net benefit obligation (asset) reported in the financial statements?
-
What are the 5 Cs of marketing channel structure?
-
For the following exercises, use long division to find the quotient and remainder. x 2x + 4x + 4 x-2
-
For the following exercises, use the Intermediate Value Theorem to confirm that the given polynomial has at least one zero within the given interval. f(x) = x 3 9x, between x = 2 and x = 4.
-
For the following exercises, use synthetic division to find the quotient. (x 3 21x 2 + 147x 343) (x 7)
-
Suppose we write the following code (pseudo-code) on our shell terminal: int main(int argc, char *argv[]) { int p fork(); for (int i=0; i
-
Provide best-case and worst-case running time and space complexity analysis in Big-Oh notation for the following method. Best-Case Running Time Worst-Case Running Time Best-Case Space Complexity...
-
Chaim has won $5000 and wants to save it towards buying a house in six years when he finishes his law degree. He has the choice between an account which compounds daily with an APR of 7%, and another...
Study smarter with the SolutionInn App