Answered: In the diagram below, Circle O is…

In the diagram below, Circle O is inscribed in triangle ABC. If AE = 6, AB = 13 , and BC = 11, find the length of segment DC. %3D a. 4 Ь. 5 C. 6 13 in 6 in d. 7 B. 11 in

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter6: Circles

Section6.4: Some Constructions And Inequalities For The Circle

Problem 29E: Given circle O with mBC=120, and mAC=130. a Which angle of triangle ABC is smallest? b Which side of...

See similar textbooks

Related questions

Q: Given the radii are portions of the mid-section of the shaded figure, calculate the circumference of…

Q: 9. In circle Z, if RS = 18, and mTY = 42°, find each measure. %3D R TV = TU = WS = mYU = mRS = SU

A: As per our guidelines, i can answer only one question. To know rest, please re upload that…

Q: In the circle below if AE = 4, EB = 5 and CE = 2, find ED. %3D

A: Given data: The given length of the segment AE is: AE=4 units. The given length of the segment…

Q: In AABC, LB = 57° and BC= 19.3 cm. Find the length of side AB to the nearest tenth of a centimeter.…

A: The length of the side BC=19.3 cm. The angle ∠B=57∘ The objective is to find the length of the side…

Q: Given a triangle with side b = 98.7 units, side c = 65.4 units and angle A = 24°57'. Which of the…

A: The unknown side of a triangle can be calculated using the cosine rule. The formula for the cosine…

Q: Given a right triangle ABC where angle C = 90°, side a = 21.6 units, and side c = 37.5 units. How…

Q: is a right triangle with the measure of X60 and the measure of I If IX 7, find the length of SI.

A: We know, tanθ=HeightBase

Q: Find the measure of ZDEC.

A: Given: Angle DBC=57

Q: The two triangles shown are similar, ∆ABC ~ ∆DFE. Calculate the missing side lengths (x and y).…

A: here we have DE=1.58 FD=1.98 EF=1.4 AB=4.05 BC=y AC=x

Q: In circle O, AOC is a diameter, ABDos a secant, and BC is a tangent. If the measure of the arc DC is…

A: Let the measurement of arc AD as x mAD⏜=x measurement of DC is 3 less than twice of AD mDC⏜=2…

Q: In the given figure, O is the centre of the circle and AB is the diameter. If ODA = 90' and OB = BC,…

A: From the given figure

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

Q: DE is a midsegment of triangle ABC. If DE = 5, what does BC = ? B BC =

Q: Given the figure below, find the shaded area (to the nearest tenth of a square centimeter) if the…

A: Given fig. is

Q: In the given figure, O is the centre of the circle and AB is the diameter. If LODA = 90' and OB= BC,…

A: Given data:- Diameter of the circle = AB Center of the circle = O ∠ODA=90°OB=BC

Q: Given: OP = 4 cm, AD = 1 cm, BC = 2 cm. Find the indicated values. Area of circle with radius OP is…

Q: Figure ABCD is a rectangle. Segment AB is 6 cm long, segment BC is 8 cm long, and segment AC is 10…

A: area of the triangle with the help of the dimensions given in a question

Q: Given a triangle with angle A = 93 degrees and sides a = 41 and b = 14. Find side c.

A: Given in triangle ABC angle A = 93 degrees and sides a = 41 and b = 14. To find side c.

Q: Given a triangle with angle A = 96° and sides a = 29 and b = 19, %D %3D the length of side c is C…

Q: Find the length of side aa if the length of side b=12 units, the length of side c=9 units, and the…

Q: O A triangle has side lengths 4 ft, 12 ft, and 13 ft. Is the triangle acute, obtuse, or right?

A: Here, To determine whether the triangle is acute, right, or obtuse. We just have to add the squares…

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE 64 –…

Q: The figure shows triangle ABC inscribed in circle D. B. C A If the measure of angle CBD =44°, what…

A: Use the fact the angle A is half of the angle D

Q: In the given figure, O is the centre of the circle and AB is the diameter. If 2ODA = 90 and OB = BC,…

A: A Figure is given.

Q: 9. 12 ?

A: Angle bisector divides opposite sides in two parts and in ratio of two corresponding sides

Q: The diagram shows AABC inscribed in circle D. If m/CBD=44°, find mZBAC. ABCD is an isosceles…

A: ∆BCD is an isosceles triangle. m∠CBD=44°

Q: The segments shown below could form a triangle. 9 A 4 с B ● A. True 11 B A

A: Given that the segments show below To find the segments of the line are triangle it is true or…

Q: In circle 0, diameter AB is perpendicular to chord CD at E. If AE = 16 and EB = 4, what is CD? %3D

Q: Given a right triangle ABC where angle C = 90°, side a = 43.5 units, and angle B = 47041. How long…

A: We need to find the length of side b.

Q: Given a right triangle ABC where angle C = 90° and tan B = 유. How long is side c?

A: Given right angled ABC angled at C as shown in figure below And tan (B)=3.6/4.8 Now we have to find…

Q: Two chords, AB and CD, intersect in a circle at E. If AE= 6cm, BE = 8cm, and CE = 3(DE), what is the…

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD=8 and DC=32, what is the…

A: Solution-

Q: In the accompanying diagram of a circle, cho AB and CD intersect at E, CE = 5, CD = 13, AE = 4. Find…

A: 1) Here we have to find the length of BE.

Q: Give the following line segment lengths, would a triangle made from these segments be acute, right,…

Q: The figure to the right has its congruent segments marked. Find the measure of AB. 14 meters B 9…

A: Triangle Question

Q: A circle having a center at point O has a radius of 20 cm. A triangle ABC is inscribed in the…

Q: Is it possible to construct a triangle with side lengths 7 ft, 12 ft, and 18 ft. * Yes O No Geometry

A: We have given 3 sides of the triangle We have to tell the possibility of construction of the…

Q: Given A DEFif DE = 50 inches and EF = 19 inches, what is m<D to the nearest tenth of a degree?

A: In a right angle triangle using the length of two sides, we can calculate any angle inside the…

Q: Y T.

A: Topic:- geometry

Q: In AABC, LB = 58° and BC=28.4 cm. Find the length of side AB to the nearest tenth of a centimeter.…

Q: DE is a midsegment of triangle ABC. If DE = 5, what does BC = ? C BC = Blank 1:

A: Given data: The length of midsegment is DE=5.

Q: For the right triangle shown, find the length of side a. Round to the neares A b 11 ft

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: Here we will find measure of arc DC,

Q: In triangle ABC, M is the midpoint of the side BC and N is the midpoint of the side AC. Find the…

A: Since, we have been given a∆ABC, M is the midpoint of the side BCand N is the midpoint of the side…

Q: 6. In circle O, BC = 13 and DC = 24. The diagram is not drawn to scale. What is the length of…

Q: The four sequential sides of a quadrilateral have lengths a=4.9, b=7.1, c=10.4, and d=13.7 (all…

A: The four sequential sides of a quadrilateral have lengths a=4.9, b=7.1, c=10.4, and d=13.7 (all…

Q: The lengths of a triangle are 9 ft, 20 ft, and 14 ft. Tell whether this triangle is acute, obtuse,…

A: Topic = Triangles

Q: Two chords, AB and CD, intersect in a circle at E. If AE = 6cm, BE= 8cm, and CE = 3(DE), what is the…

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC = 6 and DC = 3, what is the…

A: IN△BDCBC=6,DC=3we know that cosx=Adj. sidehypo. sidecosx=36cosx=12therefore x=600therefore in right…

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 60 and DC = 15, what is…

Question

6. In the diagram below, Circle O is inscribed in triangle ABC. If AE = 6,
AB = 13, and BC = 11, find the length of segment DC.
a. 4
b. 5
C. 6
13 in
6 in
d. 7
B.
C.
11 in

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

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.
Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?
In square ABCD not shown, point E lies on side DC. If AB=8 and AE=10, find BE.
2. Consider XYZ triangles not shown a Which side is included by X and Y? b Which angle is included by sides XY and YZ?
a Given that the polygon shown has six congruent angles, this polygon is known as an __________ _________ b What is the measure of each of the congruent interior angles?
3. State the reason SSS, SAS, ASA, AAS, or HL why The triangles are congruent. Note the marks that indicate congruent parts. a RVSRTS b XMWMYZ
A triangle has sides of lengths 6 cm, 8 cm and 10 cm. Find the distance between the center of the inscribed circle and the center of the circumscribed circle for this triangle. Give the answer to the nearest tenth of a centimetre.
Triangle ABC is inscribed in circle O; AB=5, BC=6, and AC=7. a Which is the largest minor arc of O: AB, BC, or AC? b Which side of the triangle is nearest point O?
Refer to the drill jig shown. Determine 1.
If line segment AB and line segment CD in the accompanying drawing are drawn to scale, what does intuition tell you about the length of these segments?
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides m, p, and s.
Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?