Answered: 6.If two sides of a triangle are 1 and…

Math

Geometry

6.If two sides of a triangle are 1 and 3, the third side may be: (a) 5 (b) 2 (c) 3 (d) 4

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 13E: Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and...

See similar textbooks

Related questions

Q: 17. Determine whether the triangle are similar by side-angle-side similarity. if yes write a similar…

A: 17) To check whether the triangles are similar or not

Q: What is the sum of the measures of the interior angles of a convex 20-gon? The sum of the measures…

A: The sum of the measures of the interior angle of a polygon that has n sides is n-2·180°.

Q: Can the sides of a triangle have lengths 3.1, 10.1, and 12.9? yes no Submit

Q: 7. Construct a right triangle with legs of lengths a and b.

A: Topic:- right angle triangle A triangle in which one of the measures of the angles is 90 degrees is…

Q: 3. Show that if A = 3a, + 2ay – az, B = 4ax – 8a, – 4a, and C = 7ax – 6ay – 5a,, then A, B and C…

Q: Construct an equilateral triangle and its three altitudes. What does intuition tell you about the…

A: Equilateral triangle is a triangle with all the three sides and angles equal; Each Interior angle…

Q: 1. What is the measure of the angle formed by the corner of the window?

A: what is the measure of the angle formed by the corner of the window

Q: 42) Is a triangle with vertices G(3,2), H(8,5), and K(0,10) a right triangle? Justify

Q: What would be the sum of the measures of the angles of a pentagon (in degrees)? Explain how you…

Q: 2. Illustrate that the sum of the measures of the angles of an elliptic triangle is more than 180°.

A: We will illustrate that the sum of the measures of the angles of an elliptic triangle is more than…

Q: If the triangles shown in the diagram are similar, which would be a correct 5 similarity statement…

Q: Can the sides of a triangle have lengths 1.4, 2.6, and 8.1? yes no

Q: Is it possible for the measures of the angles in a triangle to be represented by three consecutive…

A: To check whether the measures of angles in a triangle can be three consecutive odd integers.

Q: Anish said that he made a triangle that had side lengths of 5 units, 5 units and 5 units. Is this a…

Q: What if...? Suppose the shutter were formed by 8 blades instead of 10 blades. What would the measure…

A: Shutter is formed by 8 blades.

Q: One triangle has sides in length of 4in, 2in and 3in and a different triangle has sides of 6in,4in…

A: Find your answer below

Q: 1. What is the sum of the measures of the interior angles of an octagon?

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 7. Find measures of the angles of the triangle whose vertices are A =' -(-3, 2), B = (1,-1), C =…

Q: What is teh sum of the measures of the exterior angles of a 21-gon?

A: the sum of exterior angles of any polygon is 360 degree.

Q: 13) How would you classify a triangle by it's SIDES if they measured 9.7 inches, 6.2 inches, and 3.1…

Q: Do you think that opposite angles 1 & 3 and opposite angles 2 & 4 would be congruent to each other?…

A: Topic-Geometry

Q: Can the sides of a triangle have lengths 11.8, 3.3, and 15.4? yes no

Q: 4. What is the sum of the measures of the interior angles of a nonagon? 5. What is the measure of…

A: We know that Sum of a interior angles of a polygon with n sides = (n-2)×180°

Q: can 1.5 cm , 4.2 cm , and 1.5 cm form one unique triangle ? why or why not ?

Q: Would the answer be like OAM and CB, because they're the same triangle side

Q: **3) What are the lengths of sides m and n? *

A: In given triangle "

Q: Why can there be no triangle ABC satisfying A = 140°, a = 5, and b = 7?

A: Why can there be no triangle ABC satisfying A = 140°, a = 5, and b = 7?

Q: 13. In AMNP, if mZM = 4x-3, m/N = 9x- 6, and m/P = 6x- 1, find x and the measure of each angle. mZM…

Q: : Is it possible to create two different triangles with two pairs of congruent angles and a pair of…

A: Topic- Triangle

Q: 3. Show that if A = 3a, + 2a, – a, B = 4a, – 8a, – 4a, and C = 7ax – 6a, – 5a,, then A, B and C form…

Q: Can the sides of a triangle have lengths 0.5, 0.6, and 1.8? yes no

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

Q: can a triangle with the side length of 3 m 4 m and 5 m make a unique triangle , more than one…

A: Given: A triangle with the side length of 3m , 4m and 5m. To write: Can a triangle with given side…

Q: A 9. If angles P and Q are complementary, which statement about the two angles is true? O ZP and 2Q…

A: the objective is to select the correct option

Q: Are these triangles similar? If so, what is the similarity statement?

Q: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

A: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

Q: If the triangles shown are similar so that 3:4:5 = x:y:15, what are the values of x and y?

A: Given:

Q: Can the sides of a triangle have lengths 2.4, 0.9, and 1.5? yes no

A: Check if the given sides make a triangle

Q: Find the lengths of the sides of the triangle given by the points P(2, –1,0) and Q(4,1,1) and R(4,…

Q: Can the sides of a triangle have lengths 3.4, 8.2, and 11.6? yes no

A: Given 3.4 , 8.2 and 11.6

Q: Can the sides of a triangle have lengths 1.7, 5.5, and 7.2? yes no

Q: 4. How may pairs of corresponding angles are there from the given figure?

A: Definition of corresponding angles Any pair of angles each of which is on the same side of one of…

Q: 2. The far end of a 7.8-foot wide sign is 15.7 feet from an observer's eyes, and the near end is…

Q: Can the sides of a triangle have lengths 4.7, 5.9, and 14.7? yes no

Q: In triangle XYZ which side is included by angle X and angle Y; (b) which angle is included by sides…

A: we observe the common side on angle X and Y, we can see in figure it is side XY and angle included…

Q: 1. What is the sum of the degrees of the interior angles of a 19-gon? 1.

Q: Are the two triangles similar? If so, by what similarity shortcut?

A: The figure is as shown below :

Q: 7. What is the classification of the triangle by its angles and by its sides? A. right, isosceles C.…

A: Triangles can be classified by their sides and by their angles. So , now , we will check the…

Q: 1 point If the leg of the triangle below is 13v2, what is the hypotenuse?

A: Given that a triangle is right angle triangle in which other two angle are 45 degree.And leg of the…

Q: 12) How would you classify a triangle by it's sides if they measured 8 cm, 8 cm, and 8 cm? *

Q: Can the sides of a triangle have lengths 1.9, 7.7, and 9.6? yes

A: Given : The side are 1.9, 7.7 and 9.6

Question

6.If two sides of a triangle are 1 and 3, the third side may be:
(a) 5
(b) 2
(c) 3
(d) 4

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

SEE SOLUTION Check out a sample Q&A here

Similar questions

The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding P?
Given that rectangle ABCE is similar to rectangle MNPR and that CDEPQR, what can you conclude regarding pentagon ABCDE and pentagon MNPQR?
What relationship, if any, exists between two angles a with equal measures? b that have the same vertex and a common side between them?
What is the general name of the point of concurrence for the three altitudes of a triangle?
a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter? b Is it really necessary to construct all three perpendicular bisectors of the sides of a triangle to locate its circumcenter?
Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the measures of the three exterior angle of the triangles?
a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?
The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum of the measures of angles 1 and 2 is more than 130. what can you conclude about the measure of angle 3? 30.
Determine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c = 2.5 b a= 20, b= 21 and c = 29 c a=10, b= 12, and c =16 d a= 5, b= 7 and c = 9
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?
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides r, x, and y.
a What is true of any pair of corresponding angles of two similar polygons? b What is true of any pairs of corresponding sides of two similar polygons?