Question

What is the value of x, if (7, x, x - 2) is a Pythagorean triple?

• A. -11.25
• B. 26.5
• C. -16.5
• D. 16.5

Answer 1

The correct option is A -11.25

Applying the Pythagorean triples rule as $a^2+b^2=c^2$
$7^2+x^2=(x-2{)}^2$
49 + $x^2$ = $x^2$+ 4 -4x
Both the side $x^2$ will get cancelled,
45 = -4x
x = -11.25