How many triangles can be constructed so that lengths of the sides are three consecutive odd integers and the perimeter is less than 1000?

Asked by Last Modified  

2 Answers

+1 Mathematics

Follow 0
Answer

Please enter your answer

Qualified (Engg from NIT) & experienced mentor with 6+ yrs experience.

Let the sides be x,x+2,x+4 ,x being an odd integer then , x+(x+2)+(x+4)<1000 , i.e, 3*x<994 ,x being an odd integer. Max value of x can 331 Now x can be any odd no from 1 to 329...like 1,3,5,7,..............,331 and for every such x, you will get one triangle.. From arithmetic progression......331=1+(n-1)*2,...
read more
Let the sides be x,x+2,x+4 ,x being an odd integer then , x+(x+2)+(x+4)<1000 , i.e, 3*x<994 ,x being an odd integer. Max value of x can 331 Now x can be any odd no from 1 to 329...like 1,3,5,7,..............,331 and for every such x, you will get one triangle.. From arithmetic progression......331=1+(n-1)*2, i.e. (n-1)*2 = 330 (n-1) = 165 n=166 which gives n=166 So 166 possible triangles read less
Comments
Dislike Bookmark

Maths and physics teacher till engineering level

166
Comments
Dislike Bookmark

Related Questions

Under which accounting standard, cash flow statement is prepared?
Accounting standard 7
Poulomi
0 0
5
. A transistor can be used as __________. (diode, rectifier, amplifier, all of these)
amplifier
Narendra Kumar
If two wires in which currents are flowing in the same direction are placed parallel and close to each other then they will __________. (Repel each other, Attract each other, Neither attract nor repel each other, None of the above)
Attract each other
Narendra Kumar
0 0
8
Thermocouples convert __________. (chemical energy into electrical energy, heat energy into electrical energy, mechanical energy into electrical energy, light energy into electrical energy)
Heat energy into electrical energy
Narendra Kumar
0 0
7
Integration of Sin2x+Tan4x?
-1/2COS2X +1/4logsec4x +C
Rajkmar

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

What Is Biology?
Biology is a branch of science,where are study about all living organisms on earth. Biology term given by 'Aristotle'. It is mainly devided into two branch: 1. Zoology (given by Aristotle) : Zoology is...

Priyanka S.

0 0
0
Solution to a trigonometric problem requested by one student
∫ log x dx use integration by parts. Let u = log x. ∴ du = 1/x dx. and. dv = dx ∴ v= x By substituting u and dv in the formula ∫ u dv = u•v - ∫ v du ∫ log x...

B.sudhakar

4 0
0
Gandhi - Shabdhartha

Sandhya

0 0
0
Vedic Mathematics:To find cube root of a cubic number within seconds
To find cube root of a cubic numbers: What are cubic numbers cube of 1= 1, (ends with 1),cube of 11= 1331 (ends with 1), and so on. cube of 2= 8, (ends with 8),cube of 12= 1728 (ends with 8),...
N

Naimish K.

0 0
0
Newton's Law of Motion
Newton’s third law tells us that the car pushes on the crew member just as hard as the crew member pushes on the car, but in the opposite direction. This is true whether the car’s engine is...
A

Ajay

1 0
0

Recommended Articles

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Find Grade 12 Tuition near you
Grade 12 Tuition in Delhi
Grade 12 Tuition in Bangalore
Grade 12 Tuition in Hyderabad
Grade 12 Tuition in Chennai
Grade 12 Tuition in Kolkata
Grade 12 Tuition in Mumbai
Grade 12 Tuition in Pune
Grade 12 Tuition in Lucknow
Grade 12 Tuition in Noida
Grade 12 Tuition in Gurgaon
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you