The hypotenuse of a grassy land in the shape of right triangle is 1 meter more than twice the shortest side. If the third side is 7 meters more than the shortest side, find the sides of the grassy land?

Asked by Last Modified  

2 Answers

Learn Mathematics +2 Class IX-X Tuition Quadratic Equations

Follow 0
Answer

Please enter your answer

Tutor

Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition: (2x +1)^2 = x^2 + (x + 7)^2.
Comments
Dislike Bookmark

Tutor

Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition: (2x +1)^2 = x^2 + (x + 7)^2 => 4x^2 + 4x + 1=2x^2 + 14x + 49=> 2x^2 -10x - 48=0 => x^2 - 5x - 24=0 => x^2 - 8x + 3x -24 = 0=> (x - 8)(x + 3) = 0 x = 8 or -...
read more
Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition: (2x +1)^2 = x^2 + (x + 7)^2 => 4x^2 + 4x + 1=2x^2 + 14x + 49=> 2x^2 -10x - 48=0 => x^2 - 5x - 24=0 => x^2 - 8x + 3x -24 = 0=> (x - 8)(x + 3) = 0 x = 8 or - 3. But the length of a side of a land cannot be negative. So, x = 8m and the other sides are x + 7 = 15m, and (2x + 1) = 17m. So, the sides of the land are 8m, 15m, and 17m. read less
Comments
Dislike Bookmark

Related Questions

What are the criterias for similarity of triangles?
3 main criteria for similarity of triangles 1) AAA or AA 2) SSS 3) SAS.
Jasleen
0 0
6
Find the sum of: 5 + x - (square of x), 3x + 5 + 2(square of x)?
5+x-square of x+3x+5+2square of x =10+4x+(square of x)
Divya
What do you mean by sales tax?
For example, if you purchase a new television for Rs. 400 and live in an area where the sales tax is 7%, you would pay Rs. 28 in sales tax. Your total bill would be Rs. 428. It is important to note that...
Neha
What is the better option for class 10, coaching class, self-study or private tuition?
If you are taking coaching classes you must need self-study. Even if you take private tuition you must need self - study. If you have self-study no need of coaching classes and private tuitions . ...
Neelima
0 0
5
What is the value of sin 45+ cosec 45?
3?2 /2=2.1213
Shubham
0 0
7

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

Ask a Question

Related Lessons

Class-10 L-5 Arithmetic Progressions Ex-5.1 Q2 (i)(ii)

Ashish Bhatia

0 0
0
Class-10 L-4 Quadratic Equations Ex-4.1 Q2 (ii)

Ashish Bhatia

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q20

Ashish Bhatia

0 0
0
Class-10 L-1 Real Numbers Ex-1.1 Q5

Ashish Bhatia

0 0
0
Class-10 L-1 Real Numbers Ex-1.1 Q3 (ii)

Ashish Bhatia

0 0
0

Recommended Articles

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

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 Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

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 >

Find Class X Tuition near you
Class X Tuition in Delhi
Class X Tuition in Bangalore
Class X Tuition in Hyderabad
Class X Tuition in Kolkata
Class X Tuition in Chennai
Class X Tuition in Mumbai
Class X Tuition in Pune
Class X Tuition in Noida
Class X Tuition in Lucknow
Class X Tuition in Gurgaon
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you