Home
Class 10
MATHS
Is (5,12,13) a Pythagorean triplet ? Giv...

Is `(5,12,13)` a Pythagorean triplet ? Give reason.

Text Solution

Verified by Experts

` 5^(2) = 25, 12^(2) = 144 , 13^(2) = 169`
` 5^(2) + 12^(2) = 25 + 144 + 169`
` therefore 5^(2) + 12^(2) = 13^(2) `
The square of the largest number is equal to the
sum of the equares of the other two numbers .
` therefore (5,12,13) ` is a Pythagorean triplet .
Promotional Banner

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.2|5 Videos

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBLEM SET-2|30 Videos

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE ( 2 MARK QUESTIONS )|2 Videos

  • PROBABILITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 5.4|12 Videos

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGIN QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

Is (3,5,4) a Pythagoren triplet ? Give reason.

Determine whether (11,12,15) is a Pythagorean triplet ? Justify .

pythagorean triplets in which one number is 12.

Write a Pythagorean triplet if one number is 14

Verify that (3,4,5),(5,12,13),(8,15,17),(24,25,7) are the Pythagorean triplets

All numbers of a pythagorean triplet are odd. True or false.

If n is odd number and n>1 then prove that (n,(n^(2)-1)/(2),(n^(2)+1)/(2)) is a Pythagorean triplet.Write two Pythagorean triplet taking suitable value of n

(3,4,5),(5,12,13),(8,15,17) etc.are Pythagorea triplets,because 3^(2)+4^(2)=25=5^(2)5^(2)+12^(2)=169=13^(2)8^(2)+15^(2)=289=17^(2)