Answered: Find the perimeter of AABC shown in…

Find the perimeter of AABC shown in Figure 8.17 if: а) АВ 5 in., AC 6 in., and BC 7 in. b) AD 8 cm, BC 6 cm, and AB = AC A D C

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 21E: Find the exact perimeter and area of the segment shown, given that mO=600 and OA=12 in.

See similar textbooks

Related questions

Q: 10. Find the area and perimeter of the quadrilateral below. 10 in 16 in Perimeter %3D inArea %D in?

A: The given quadrilateral has all 4 sides equal whose lengths are: 10 inches. Length of one diagonal…

Q: In AABC, D is the midpoint of BC. If the sides AB, BC, and CA have lengths 4,8, and 6, respectively,…

Q: Let ABCD be a cyclic quadrilateral as shown in figure. Determine the area if EA = 160 cm, ED = 240…

A: Given that, EA = 160 cm ED = 240 cm EC = 450 cm θ = 32°27”58”

Q: Let ABC be an equilateral triangle with AB = AC, and let AD be the angle bisector of BAC. Show that…

A: Use congruence triangle

Q: If A ABC S A DEF, and mZA = (x + 30)°, m2C = 45°, and mzD = %3D 80°, what is themZA? (Hint: Sketch…

A: The question mentions that △ABC≅△DEF. The measure of angles of two triangles is given as,…

Q: draw a kite ring with diagonals measuring 18 cm and 15cm respectively

A: Given that the diagonals of the kite are 18 cm and 15 cm.

Q: 2. In 2, M, R, and T are the midpoints of AB, BC and CA, respectively, in AABC. If AB = 22 cm, BC =…

A: Given: M, R, and T are the mid points of AB¯, BC¯, and, AC¯ respectively. AB = 22cm, BC = 12cm, AC =…

Q: PORS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 cm R P 4 c

A: Given that:

Q: In quadrilateral ABCD (Figure 8.20), the lengths of the sides and of diagonal BD are shown. Find the…

A: Given: A quadrilateral ABCD Formula Used: Heron's Formula: s=a+b+c2Area=ss-as-bs-c

Q: Let AABC be a triangle and let D be a point on the side BC. Prove that the ratio of the areas of…

A: Sketch the triangle ABC.

Q: Given: Equilateral AABC with each side of length s Prove: AABC V3 4

A: We know, the area of a triangle with sides a,b,c and semi perimeter s=a+b+c2 by using Heron's…

Q: If the area of AABC is 56in2, and if DB = 10in and CD = 4in, what is the length of AD? A C D В

Q: Given: In circle O, OA=5, BC=6, ad CD=4. Find: Area of quadrilateral ABCD

A: Consider the following figure. The quadrilateral ABCD is inscribed in circle O and AC. the diagonal…

Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base…

A: Introduction: The lateral surface area of a right triangular prism is given by, LSA=perimeter of…

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW = ACDZ.…

A: For the given Kite A B C D and Isosceles trapezoid W X Y Z It is given that AC is parallel to W Z…

Q: Can a cube of volume 5 be constructed using only an unmarked straight- edge, a compass, and a unit…

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, LB = LF, BC = FG, and LC = ZG? b) ZA =…

A: To check the quadrilaterals are congruent.

Q: 5. Given: In circle 0, OA = 5, BC = 6, and CD = 4 Find: Area of Quadrilateral ABCD

A: (5). Given: OA=5BC=6CD=4

Q: 10 in 6 in 5 in the Area is in the perimeter is in

A: given,

Q: A satellite dish in the shape of a regular dodecagon (12 sides) is nearly “circular." Find: a) mAB…

A: A satellite dish is in the shape of a regular dodecagon (12 sides). Here measure of the one arc is…

Q: 2. In the diagram shown of AACT,D is the midpoint of AC,0 is the midpoint of AT, and G is the…

A: We will apply foltlowing theorem in this problem If in any triangle, the line joining the mid…

Q: 12. DE is a segment bisector. If AB = 13 cm, what is the length of BC? %3D 13 C A B.

A: Segment bisector divide the segment into two equal half.

Q: Find the perimeter of the rectangle joined to a semicircle. Leave your answers in terms of Tt. 10 22…

Q: 9. If AD = 13, AC =28 and BD = 13, what is the perimeter %3D of A ABC? D.

Q: If WXYZ is a rhombus, Find each missing measure. 21 in 27 in (P 517

Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

Q: 14 in. 8 in. What is the perimeter of this rectangle? What is the area of this rectangle?

Q: 4. If AB = AD = y +5, BC = y, and CD =+ 3, find the perimeter of ABCD. %3D

A: 4. The figure with AB = AD = y+5, BC = y and CD = y2+3 is given by To evaluate : The perimeter of…

Q: The top and bottom ends of a wind- shield wiper blade are 34 in. and 14 in., respectively, from the…

Q: three post are set in level ground in such a manner that their bases form an equilateral triangle…

A: SOLUTION-

Q: 16. In a rhombus ABCD, AC = 24 cm and BD 10 cm. Calculate the perimeter of the rhombus.

Q: A regular octagon can be divided into 8 congruent isosceles triangles, one for each of its sides. O…

A: . A Regular Octagon

Q: 9. Find the perimeter of AAEC if AF = 11 cm, FE = 15 cm and DC = 16 ст. %3D F E B.

Q: In isosceles AABC, ZB is obtuse and CH is an altitude as shown. Find the perimeter of AABC if CH =…

A: Given: ∠HBC = ∠BAC +∠BCH Let ∠BAC =x and ∠BCH =y Since, ∆ABC is isosceles, therefore ∠BAC = ∠BCA ⇒…

Q: Consider regular octagon RSTUVWXY, with each side of length 18, and the length of diagonal RU.…

Q: A square with sides of length 2 in. rests (as shown) on a square with sides of length 6 in. Find the…

A: Given that - AE = EF = FG = AG = 2 inAnd,AH = HC = CD = AD = 6 inWe see that,∠AEB and ∠DEC both are…

Q: The perimeter of AABC is Type an exact answer, using

Q: BF = Ham AE = 1Sem CF - Hem E.

A: Explanation and solutions is given below.....

Q: Given: Triangle ABC Prove: < BAC is congruent to < BCA В

A: As per the bartleby guidelines for more than one part only one has to be solved .Please upload the…

Q: 5. If QR = 13 and PT = 8, find QT. %3D %3D P R

Q: In trapezoid ABCD, BC ⊥ AB and BC ⊥ CD. If DA = 20, AB = 5, and BC = 12, find the perimeter of…

Q: A kite can be thought of as two isosceles triangles because of its two pairs of congruent adjacent…

Q: Given AABC with AB BC, and M is the midpoint of AB. Find the perimeter of AABC, if AM = 5 and AC =…

Q: 25 in. 24 in

A: Given the dimensions of pentagonal pyramid

Q: AD, BE, and CF diametersS of the same circle. Prove ate that AA BC = ADEF

Q: In Exercises 31 to 34, suppose that BC is the base of isosceles ДАВС (пot shown). 31. Find the…

A: NOTE- AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN EACH SESSION SO, I HAVE ANSWERED FIRST THREE FOR…

Q: GIVEN: Isosceles AABC, with AB = BC BD bisects ZABC (See Figure 3.29.) PROVE: AABD = ACBD

A: Given: ABC is an isosceles triangle. AB≅BC BD bisects ∠ABC. To prove: △ABD≅△CBD

Q: Given an isosceles, but not equilateral, triangle AABC with AB = AC, write down all congruences from…

A: It is given that triangle ABC is an isosceles triangle with AB¯≅AC¯. Construct an altitude BD¯ in…

Q: GIVEN: Quadrilateral ABCD with AC 1 BD [See Figure 8.24(a).]; AC d, and BD = d2. PROVE: AABCD =…

A: Given that, in quadrilateral ABCD, AC is perpendicular to BD. AC = d_1 BD = d_2 Let AE = h Then, CE…

Question

Find the perimeter of AABC shown in Figure 8.17 if:
а) АВ
5 in., AC
6 in., and BC
7 in.
b) AD
8 cm, BC
6 cm, and AB = AC
A
D
C

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Step by step

Solved in 9 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In Exercises 31 to 34, suppose that BC is the base of isosceles ABC not shown. Find AB if the perimeter of ABC is 36.4 and BC=14.6.
In Exercises 1 to 8, find the perimeter of each polygon. ABCD with ABBC d1=4md2=10m
In Exercises 27 to 30, find the area of the figure shown. Given: In O, OA=5, BC=6, and CD=4 Find: AABCD
In Exercises 27 to 30, find the area of the figure shown. Given: Pentagon ABCDE with DC-DE- AE=AB=5 BC=12 Find: AABCDE
In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: MNQR MNQR Prove: MNPRQP
In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: SRSVRTVT Prove: RSTVST
Given regular octagon RSTUVWXY with each side of length 4, find the length of diagonal RU. HINT: Extended sides, as shown, form a square.
In Exercises 27 to 30, find the area of the figure shown. Given: Hexagon RSTVWX with WV-XT-RS- RS=10 ST=8 TV=5 WV=16 WX-VT- Find: ARSTVWX
In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.
In Exercises 27 to 30, provide a paragraph proof. Given: Quadrilateral ABCD is circumscribed about O Prove:AB+CD=DA+BC.
In Exercises 27 to 30, find the area of the figure shown. Given: Pentagon RSTVW with mVRS=mVSR=60,RS=82, and RW-WV-VT-TS- Find: ARSTVW
In Exercises 47 to 50, use the fact that the area of the polygon is unique. In ABCD,AB=7 and BC=12. The length of altitude AF to side BC is 5. Find the length of altitude AE from A to DC.