Question

In Pythagoras theorem triplets the lengths of the sides of the right angled triangle are in the ratio.

• A. 3:2:6
• B. 1:4:7
• C. 2:2:2:
• D. 3:4:5

Answer 1

The correct option is D 3:4:5

As per the rule in Pythagoras theorem the ratio has to be 3 : 4 : 5. If you take other than that we do not get the answer.
Ex. Lengths are not in the ratio
Lengths of the sides of the right angled triangle are 2, 5, 7
$a^2+b^2=c^2$
$2^2+5^2=7^2$
$4+25\ne 49$
$29\ne 7^2$
So, it is not correct.
Ratio is 3 : 4 : 5
Lengths of the sides of the right angled triangle are 6, 8, 10
$a^2+b^2=c^2$
$6^2+8^2={10}^2$
$36+64=100={10}^2$
So, it is correct.
Therefore, D is the correct answer.