Answered: Let ABC be a triangle with < BAC = 120°…

Let ABC be a triangle with < BAC = 120° and |AB| ∙ |AC| = 1. Express the length of the angle bisector AD in terms of x = |AB|. Find the larges possible value of |AD|.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.3: Angles And Polygons

Problem 18E

See similar textbooks

Related questions

Q: Consider the triangle ΔABC and denote by P the point on the segment BC such that 4PC=BC. Suppose…

A: Consider the triangle ΔABC and denote by P the point on the segment BC such that 4PC=BC. Suppose…

Q: )Let ABC be an isosceles triangle with AB-AC Let D be the foot af the A to BC. ( Prove that AD…

A: NOTE- AS WE ARE ALLOWED TO ANSWER FIRST QUESTION IN ONE SESSION SO I HAVE ANSWERED FIRST ONE FOR…

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

Q: 3. Find a positive angle less than 2n which is coterminal with the angle 29TT/6.

A: Given angle = 29π6

Q: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE AC.…

A: In △ABC,point D and E are on sides AB and CB respectively,such that DE∥AC If EB is 3 more…

Q: This activity will show you a way to prove that the angles in a triangle add to 180. 1. Given any…

A: Let the line parallel to BC which is passing through A is PQ.

Q: In a triangle ABC, the angle C is obtuse and the point D is the foot of the altitude from the vertex…

A: The triangle ABC is Given that :- ∠D=90° ∠PCB=∠ACQ=90° Prove that , AP·DQ=PD·QB

Q: Find a positive angle less than 2n that is coterminal with the given angle. 19T 4

Q: In the diagram shown below segments TU and QS perpendicularly bisect each other at point R. Which of…

Q: Which of the following statements is false regarding possible cross sections when slicing a right…

Q: 76/5 20 16 19 Not drawn to scale. Which similarity theorem proves that the two triangles are…

A: given,

Q: Find a formula for the area of the triangle whose vertices are 0, v, , and v2 in R?. Choose the…

Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: Which of the following methods would not be used to prove that two triangles are congruent? O A.…

A: No . The answer to the question is option B . If we prove that the three angles of the triangles…

Q: Two students were asked to prove whether or not A ABC A DFE. C 75 55 B D55 50 12 16 Malcolm used the…

Q: Determine the measure of the interior angle at vertex F. 4x 4x 4x 4x 2х 2x F A OA. 54 Ов. 36 Ос. 108…

A: Interior angles polygon is given

Q: Show that the sum of the two perpendiculars drawn from any point in the base of an isosceles…

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

Q: Find a positive angle less than 2x that is coterminal with the given angle. 43 43x A positive angle…

A: To find the positive angle less than 2π that is conterminal with 43π5.

Q: A trapezoid ABCD with bases AB and CD has a circumscribed circle k. Its diagonals are perpendicular…

A: 1) Since diagonals of trapezoid are perpendiculer to each other hence they bisect each other at…

Q: Find a positive angle less than 2n that is coterminal with the given angle. 13x 3

A: Find a positive angle less than 2π that is Coterminal with the given angle 13π3

Q: Consider a triangle with vertices of angle measure A, B and C and corresponding opposite sides of…

A: Given that a triangle with vertices of angle A, B and C and corresponding opposite sides of length…

Q: Consider a right triangle with a side length of x opposite angle A, a side length y opposite angle…

Q: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE ||…

Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

Q: 1. Using the law of cosines prove that 4m =2(b²+c?)-a², where ma is the length of the median…

Q: Which of the following methods would NOT be used to prove that two triangles are congruent? 20…

A: To determine: The method would not be used to prove that two triangles are congruent. Concept used:…

Q: The coordinates at the vertices.A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: Given, The coordinates of vertices of triangle A-3, 7 B2, 19 C10, 7 We have to find the length…

Q: If any point D is taken on the base BC of an isosceles triangle ABC and DEF is drawn perpendicular…

Q: Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using…

Q: Prove that if P is the perimeter of a Pythagorean Triangle with integral sides a, b and c, then P…

A: We have to prove that P divides ab.

Q: O is the center of a circle whose circumference passes through the vertices of an equilateral…

Q: Show that the two triangles are similar. Q P and ZN INV, so ALNQ AMNP. QLN QNL MPN MNP NMP IN

Q: Two students were asked to prove whether or not AABC- A DFE. 75° 8. 55° A B D 55° 50 16 12 AC…

Q: Given the isosceles triangle ABC with AB=AC=x and BC=2y. show that if A s the area of the…

Q: The three sides of a triangle are 5, x, and 8. Give all possible lengths x so that the triangle is…

Q: For this question, assume the Parallel Postulate P-1 (a) State the Pythagorean Theorem carefully.…

A: The longest side of the triangle is called the "hypotenuse", so the formal definition is In a right…

Q: Let a and b be lengths of legs and let c be the length of the hypotenuse of a right triangle. Prove…

Q: c) Two poles, one 6 m tall and one 15 m tall, are 20 m apart. Alength of wire is attached to the top…

Q: In the right triangle ABC, AB=2, BC=4, and ED is a line parallel to AB. Find the angle BAD which…

A: The triangle ABC is as follows

Q: Use the following figure to prove the Pythagorean Theorem by first proving that the quadrilateral…

A: Pythagorean theorem states that in a right angled triangle, the square of the hypotenuse of the…

Q: The question is in the picture. Also, there is an example of how it should look like/how it should…

A: Sketch the situation roughly Given: F, K, E are midpoints of AP, PB, PC respectively. Prove:

Q: Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point…

A: Given : ABCDE a Regular Pentagon. Each Side has length 1. Intersection Point of AD and EC is F. Show…

Q: Find a positive angle less than 2n that is coterminal with the given angle. 150

A: To find co-terminal we have to add or subtract 2π from the given angle

Q: Show that p = V2/1 - cos O in an isosceles triangle that has two sides of length p, an angle of 0…

A: This question is based on application of Cosine rule.

Q: Suppose that aopg is isosceles with base og. Suppose also that mz0= (3x+ 20)° and mz P=(4x+ 40)°.…

A: Given that ΔOPQ is an isosceles triangle with base OQ¯ Also m∠O = 3x+20∘ And m∠P =4x+40∘ In…

Q: Consider the points P(1,2,2), Q(−1,3,1),R(1,2,−3) and let A be the area of triangle PQR. what is…

Q: 29. Find a formula for the area of the triangle whose vertices a 0, V1 , and v2 in R².

A: Given that Vertices of the triangle is 0,v1,V2 To find the area of the triangle

Q: Suppose that APQR is isosceles with base QR. Suppose also that mz P (2xr+ 56)° and mzQ=(4x+ 12)°.…

Q: The vertices of ARST are R(6,-1), S(1,-4), and T(-5,6). Prove that ARST is a right triangle. Work:…

Question

Let ABC be a triangle with < BAC = 120° and |AB| ∙ |AC| = 1. Express the length of the angle bisector AD in terms of x = |AB|. Find the larges possible value of |AD|.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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

INTRODUCTION

VIEW

SOLUTION

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

$Area$

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, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._
Given: Tangents AB,BC,andACtoO at points M, N, and P, respectively. AB=14,BC=16,AC=12 Find: AM, PC, and BN
A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?
For concave pentagon ABCDE, find the measure of the reflex angle at vertex E if mA=mD=x, mB=mC=2x, and mE=4x. HINT: E is the indicated reflex angle.
In right ABC with right C, AB=10 and BC=8. Find the length of MB if M is the midpoint of AC.
In the figure shown, CD bisects AB at point M so that AM=MB. Is it correct to conclude that CM=MD?
Consider regular pentagon RSTVQ not shown. Given that diagonals QT and VR intersect at point F, show that VFFR=TFFQ.
Given: rs Transversal t 1 is a right Prove: 2 is a right
In right ABC with right C,AD bisects BAC. If AC=6 and DC=3, find BD and AB. HINT: Let BD=x and AB=2x. Then use the Pythagorean Theorem.
Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the planes containing EJF and KJF is larger than 180 .
Use the result of Exercise 13 to do the following problem. 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.
A carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?