Question

Check if $(8,15,17)$ forms Pythagorean triplet?

• A. No
• B. Yes

Answer 1

The correct option is B Yes

Given, Pythagorean triples = (8, 15, 17).
We can say that p = 17, q = 15, r = 8
We know, Pythagorean triplets formula is
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $p^2$ = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $q^2$ + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $r^2$.
LHS = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $p^2$ = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${17}^2$ = $289$
RHS = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $q^2$ + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $r^2$
= <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $8^2$ + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${15}^2$
= 64 + 225
= 289.
Hence, LHS = RHS.
So,yes (8, 15, 17) forms a pythagorean triplet.