Answered: A circle is inscribed in a triangle ABC…

A circle is inscribed in a triangle ABC and it touches the side AC at P. If AB= 14, AC= 10 and AP= 4, Find the area of the triangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 14E: A circle is inscribed in a triangle having sides of lengths 5 in., 12 in., and 13 in. If the length...

See similar textbooks

Related questions

Q: Given: m(n)=(-3n/2)+(1/2). Find the following: a. Domain and Range b. Slope c. y- Intercept d.…

A: Given

Q: Graph the function f (x) = = × - 7.

A: We can graph the function as below.

Q: A 6000-seat theater has ticket for sale at $28 and $40. How many tickets should be sold at each…

A: Note. Here total revenue is $200,400 . I think misprint in question

Q: Find the term named in the Arithmetic sequence. 32, 22, 12, 2, .. Find a28

Q: #21. the character istic polynamial a matrix D of is o ()= (^-1)'( -) which ane is alyays truez IS…

Q: Ise the sequence 5, 15, 45, 135, ... a. Write the next three terms of the sequence. b. Is the…

A: Given: 5,15,45,135,....

Q: 13 4 -1 13 14 6. I Example 4.4. Using the partition method, find the inverse of A = 7 3 2 6. 5 16 11

Q: You want to buy a $212,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan…

A: Let's find.

Q: Determme the eègqenualue (s), and of the matrix eterminc corresponding eigenspace f3 A

A: Here, the given matrix is: A=3-120

Q: Determine the eigenvalue(s), and the corresponding eigenspace(s) of the following matrix A%3D…

Q: ve the problem. 15) The Family Arts Center charges $21 for adults, $14 for senior citizens, and $5…

A: topic - linear equations

Q: even 10 Practice Problems: Complete at least 4 of the 6 problems on Binder Paper and submit to the…

Q: Solve the linear system by the Kaus-Jorn elimination method 2 x + 3 y - z = 5 %3D 4x + 4y – 3z = 3…

Q: 5. The elementary row operation E52(-3) was applied to a matrix A obtaining a matrix B. Which…

A: We need to choose correct options.

Q: Principal = $2500, Interest = %3D %3D $127.00, time 5 years, find the %3D rate. Round to the nearest…

Q: What percentage of area is above the mean on a normal curve? (make sure to include % sign in your…

A: To determine what percentage of area is above the mean of a normal curve.

Q: e:A certain manufaquring fim measures 34 in Đ4_a_map with sealt 1:8,000 hat is ti quea jul peality…

A: Given measure on the map is = 34 inch by 118 inch. The scale is 1:8000. It means: 1 inch = 8000…

Q: Find the difference between simple interest and compound interest on a savings deposit of fifty…

Q: II. Determine whether the given matrices are invertible or not. 31 1 -21 1. A = 1 2. B = 3 l7 1 2 4…

Q: Jse common logarithms or natural logarithms and a calculator to evaluate to four decimal places 1)…

A: Given query is to find the value of the expression.

Q: 3. The two-way frequency table shows the number of blue and green parrots and parakeets in a rescue…

Q: The number of trees in Jose's orchard is 120. 9. How many mango trees are Trees in Jose's Orchard…

Q: 2 -1 7 -3 -8 1 0a0 b 4. The reduced row echelon form of 1 4 is 0 1 COd Which of the fol- -2 -1 8.…

A: In this question , the given matrix reduced row echelon form and compare the value of the second…

Q: Min 8X + 12Y s.t.

A: answer is in next step i solved all part

Q: A company sells an inexpensive accounting program for home computers. If it can sell x programs per…

A: Revenue per week=Number of items sold per week×Cost per item

Q: Identify the zeros, their multiplicity, and th 14. f(x) =-x(3x-2)²(x+9)5 Zero Multiplicity Effect A…

Q: In the following table of values, what would be the value of “b” in ax2 + bx + c? –2 –9 –1 –1…

Q: In a quadratic function, the axis of symmetry and the vertex share the same x-value. O Always…

Q: For f(x)=12x" – 44.x' – 8x° + 2x' – 6x² + 72x² – 24.x +8 , compute f(2),roots of f(x) and plot for…

Q: 10. /(х) B. f(x) -2x3 – 2x2 + 4x TURNING POINTS PARENT FUNCTION END BEHAVIOR INCREASING INTERVALS…

Q: 11. x P(X = x) 1.11 3? 5.62 7.09 Look at the relative frequency table above. What is P(X = 3)? 0.89…

Q: For each piecewise function, find the x-coordinate(s) for which there are points of discontinuity.…

Q: Describe the solution(s) of the quadratic equation graphed below: Has one real solution…

A: We have to find the number of real solutions from the given graph.

Q: Consider the following linear transformation and answer the questions to follow. T: R? -→ R' :…

Q: Suppose you pay back $655 on a $625 loan. You had the loan for 75 days. What was your simple annual…

Q: Given the graph, determine whether (a) the degree is even or odd and (b) the leading coefficient is…

Q: 3) sle) = 2 -3 x+1 8 -6 -6 -$ -3-2 -1 -2 -3 -5 -6 Center of Graph: ( Vertical Asymptote: Horizontal…

A: Given

Q: If A={x | x is an odd integer}, B={x | x is an even integer}, C={2, 3, 4, 5}, and D={13, 14, 15,…

A: Given, A={x | x is an odd integer}, B={x | x is an even integer}, C={2, 3, 4, 5}, and D={13, 14,…

Q: John bought a recliner priced at $500, which was financed for $30 a month for 24 months. What is the…

A: In this question we have to find how much is the finance charge.

Q: 12 21 =12 野(9) =12 %3D

Q: 3x? + 4x. Let f(x) = 5x + 4 and g(x) After simplifying, (f o g)(x) =

Q: Going back to the jeep problem, in 10 years, you'd like to have 200,000 to buy that jeepney but you…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: a. (2Du + v)T|

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Given: f(x)=13x-10 a. Domain b. Range c. Slope d. y- Intercept e. Graph and the Description of…

Q: A ball is thrown vertically upward. After t seconds, its height h(in feet) is given by the function…

Q: Sales y (in thousands of dollars) decreased steadily then increased steadily, as shown in the graph…

Q: b. use tand=-1 d. cusd- e. f. sin--

Q: Here is a graph that represents g(x) = a · b". Find the values of a and b . Show your reasoning. |…

A: Given the query is to find the value of a and b

Q: $. fnd the yalue of and g giren That X. -5 3 |1-1 4

Q: Example: Given the quadratic function f (x) = -2 x² + 16x -24, a) Find the vertex form for f. b)…

A: Given a quadratic function.

Question

A circle is inscribed in a triangle ABC and it touches the side AC at P. If AB= 14, AC= 10 and AP= 4, Find the area of the triangle.

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A circle is inscribed in a triangle having sides of lengths 5 in., 12 in., and 13 in. If the length of the radius of inscribed circle is 2 in., find the area of the triangle.
Circle O has a diameter of length 20cm. Chord AB has length 12cm, and chord CD has length 10cm. How much closer is AB than CD to point O?
In a triangle whose area is 72 in2, the base has a length of 8 in. Find the length of the corresponding altitude.
Given three side, find the area of each of the triangles 19 through 26. Where necessary, round the answers to 1 decimal place.
In ABC,mC=90 and mB=60. If AB=12 in., find the radius of the inscribed circle. Give the answer to the nearest tenth of an inch.
Draw a triangle and, by construction, find its incenter.
The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in2. What is the approximate length of the radius of the inscribed circle?
A company logo on the side of a building shows an isosceles triangle with an inscribed circle. If the sides of triangle measure 10 ft, 13 ft and 13 ft, find the length of the radius of the inscribed circle.
In the triangle shown, find each measure to the nearest tenth of a unit. a x b y c A, the area of the triangle