Question

find the Pythagorean triplet if its one member is 10

Answer 1

3,4,5

5,12,13

When the side lengths of a right triangle satisfy the pythagorean theorem, these three numbers are known as pythagorean triplets or triples. 

The most common examples of pythagorean triplets are

3,4,5 triangles

a 3,4,5 triplet simply stands for a triangle that has a side of length 3, a side of length 4 and a side of length 5.

If a triangle has these side lengths, then it MUST be a right triangle.

5, 12, 13 right triangles

7, 24, 25 right triangles

8, 15, 17 triangles

NOTE: the triplets above such as 3,4,5 represent the ratios of side lengths that satisfy the pythagorean theorem.

Therefore, you can create other triplets by multiplying any of these triplets by a number.

(3,4,5) ×2 = 8,6,10 and 8,6,10 is also a pythagorean triplet

(5,12,13) ×2 = 10,24,26 and 10,24,26 is also a pythagorean triplet

Any multiple of the ratios above represent the sides of a right triangle. In other words just as 3,4,5 represents the



Read more: https://www.mathwarehouse.com/geometry/triangles/pythagorea-theorem/pythagorean-triplets.php#ixzz5evueuUz1

Answer 2

triplet form formula =(2m)²+ (m²-1)²=(m²+1)²
let, 2m =10
m= 10÷2
=5
(m²+1) = (5²+1)
= 25+1 = 26
(m²-1) =(5²-1)
=25-1= 24

(2m)²+(m²-1)²=(m²+1)²
(10)²+(24)²=(26)²
100+ 576=676

676=676
means=LHS = RHS


hope you understand