English

Which of the Following Triplets Are Pythagorean? (8, 15, 17) - Mathematics

Advertisements
Advertisements

Question

Which of the following triplets are pythagorean? 

 (8, 15, 17)

Solution

he two smallest numbers are 8 and 15. The sum of their squares is:
82 + 152 = 289 = 172
Hence, (8, 15, 17) is a Pythagorean triplet.

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Squares and Square Roots - Exercise 3.2 [Page 19]

APPEARS IN

RD Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.2 | Q 7.1 | Page 19

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the square of the given number.

46


What will be the units digit of the square of the following number? 

 4583 


What will be the units digit of the square of the following number? 

55555


What will be the units digit of the square of the following number?

 53924


Observe the following pattern 

\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) = \frac{2 \times 3 \times 4}{3}\] 

\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) = \frac{3 \times 4 \times 5}{3}\] 

\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) + \left( 4 \times 5 \right) = \frac{4 \times 5 \times 6}{3}\] 

and find the value of(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + (5 × 6)


Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\] 

and find the values of  following: 

1 + 2 + 3 + 4 + 5 + ... + 50


Find the square of the following number:  

205 


For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.


The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.


Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×