Question

find pythagoreantriplets for n=7​

Answer 1

Answer:

The Pythagorean Theorem Formula is expressed as,

c2 = a2 + b2

Step-by-step explanation:

Formula for Pythagorean Triples

To find the Pythagorean triples, the following formula is used. If a, b are two sides of the triangle and c is the hypotenuse, then, a, b, and c can be found out using this-

a = m2-n2

b = 2mn

c = m2+n2

These values result in a right-angled triangle with sides a, b, c.

Also, k.a, k.b and k.c are considered as the Pythagorean triple.

Notes:

(i) m, n and k are any two positive integers

(ii) m > n

(iii) m and n are coprime and both should not be odd numbers

Solves Example

Question: Check if (7, 24, 25) is a Pythagorean triple.

Solution: Given,

Pythagorean triple = (7, 24, 25)

a = 7, b = 24, c = 25

The Pythagorean triples formula is, c2 = a2 + b2

LHS: c2 = 252 = 625

RHS: a2 + b2 = 72 + 242 = 49 + 576 = 625

LHS = RHS

So, (7, 24, 25) is a Pythagorean triple.

Answer 2

Answer:

here is the answer:-

The Pythagorean Theorem Formula is expressed as,

c2 = a2 + b2

Step-by-step explanation:

Formula for Pythagorean Triples

To find the Pythagorean triples, the following formula is used. If a, b are two sides of the triangle and c is the hypotenuse, then, a, b, and c can be found out using this-

a = m2-n2

b = 2mn

c = m2+n2

These values result in a right-angled triangle with sides a, b, c.

Also, k.a, k.b and k.c are considered as the Pythagorean triple.

Notes:

(i) m, n and k are any two positive integers

(ii) m > n

(iii) m and n are coprime and both should not be odd numbers

Solves Example

Question: Check if (7, 24, 25) is a Pythagorean triple.

Solution: Given,

Pythagorean triple = (7, 24, 25)

a = 7, b = 24, c = 25

The Pythagorean triples formula is, c2 = a2 + b2

LHS: c2 = 252 = 625

RHS: a2 + b2 = 72 + 242 = 49 + 576 = 625

LHS = RHS

So, (7, 24, 25) is a Pythagorean triple.

Step-by-step explanation: