Mathematics High School

For 4-6, determine whether the three numbers could be the lengths of the sides of a
triangle.
4. 4, 8, 11
5. 6, 12,5
6. 13, 13, 26

For 4-6, Determine Whether The Three Numbers Could Be The Lengths Of The Sides Of Atriangle.4. 4, 8,

Answers

Answer 1

Answer:

4. 4, 8, 11 could be the lengths of the sides of a  triangle

5. 6, 12, 5 could not be the lengths of the sides of a  triangle

6. 13, 13, 26 could not be the lengths of the sides of a  triangle

Step-by-step explanation:

There is an important rule about the sides of the triangle

The sum of lengths of the smallest two sides of a triangle must be greater than the length of the third side

Let us use this rule to solve questions 4, 5, and 6

#4.

∵ The numbers are 4, 8, 11

∵ The two smallest numbers are 4, 8

∵ Their sum = 4 + 8 = 12

∵ The greatest number is 11

∵ 12 > 11

∴ The sum of the two smallest number is greater than the third number

∴ The numbers could be the length of the sides of a triangle

∴ 4, 8, 11 could be the lengths of the sides of a  triangle

#5.

∵ The numbers are 6, 12, 5

∵ The two smallest numbers are 5, 6

∵ Their sum = 5 + 6 = 11

∵ The greatest number is 12

∵ 11 < 12

∴ The sum of the two smallest number is smaller than the third number

∴ The numbers could not be the length of the sides of a triangle

∴ 6, 12, 5 could not be the lengths of the sides of a  triangle

#6.

∵ The numbers are 13, 13, 26

∵ The two smallest numbers are 13, 13

∵ Their sum = 13 + 13 = 26

∵ The greatest number is 26

∵ 26 = 26

∴ The sum of the two smallest number is equal to the third number

∴ The numbers could not be the length of the sides of a triangle

∴ 13, 13, 26 could not be the lengths of the sides of a  triangle

Related Questions

Other Questions
all you need is in the photo tell me somthing idk part 2 Are camels more related to koalas or hawks? Explain. What is this math question? Yesterday Nathan rode his bike 39 kilometers in 3 hours. Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work. 4(2x+3)=x(3+5)+12Help what role does authenticity play in society?give example pls Need ASAP!! WILL GIVE BRAINLIST!!! Which of these subatomic particles is found in the nucleus of an atom?a. the protons and electronsb. the neutrons and electronsc. the protonsd. protons and neutrons -----------> Comment your Epic Games Name or Nintendo Switch friend code here so I can add you on Rocket Leauge!(Answer if your plat 3 or above in doubles) What is the difference between coding and programming your own system? What is the Suez Canal, and why is it so important for shipping? 4 = 18 + 5xIon understand Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not go in the hoop. How many shots were there in total? Which of the following was NOT a requirement for Americans coming to settle in Texas? 7.2C They had to become Catholic. They had to become citizens of Spain and later Mexico. They could not bring slaves to Texas They had to be of good moral character. ? HELPPPPP!!!! ASAPPPPP!!!!Why is it important to recognize the tone of an informational article?A more objective and serious tone indicates that the writer has personal experience with the subject.Tone indicates the writers feelings about the subject matter and may affect the readers attitude as well.The tone of an informational article may force the reader to accept the writers position on a subject.Most writers intentionally use tone to distract readers from the proven facts about a subject. Do you feel like everyone is entitled too their own rights? #blm#abortionisokaytoanextent#menandwomenareequal solve. draw or write to show your work. I have 15 stamps. some are old. 6 are new. how many stamps are old? *Use the Area formula8' X 9' =na'CHALLENGE!7. Brian has a pool that is 25 feet long and 15 wide. The pool can hold1,875 square feet of water when filled to the top. How many feet deepis the pool?*Use the Volume formulaas'x is': Let v = (v1, v2) be a vector in R2. Show that (v2, v1) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector.v = (21, 20) Read the passage below.Here we are burrowing in this beastly world that isn't a world, with its inky ocean hidden in some abominable blackness below, and outside that torrid day and that death stillness of night. And all these things that are chasing us now, beastly men of leatherinsect men, that come out of a nightmare!Based on the passage above, the reader can infer that Bedford will:go back and confront his pursuers.attempt to escape from the moon.try to form an allegiance with the Selenites.convince Mr. Cavor to kill the Selenites.