Question

The above triangle is right angled triangle with hypotenuse equal to $10cm.$ Find the length of the sides containing the right angle.

• A. $4cm,6cm$
• B. $6cm,8cm$
• C. $8cm,10cm$
• D. $6cm,10cm$

Answer 1

Answer: (B)

$6cm,8cm$

We know that $3,4,5$ is a Pythagorean triplet.

Hence,

$6,8,10$ is also a Pythagorean triplet.

$6=3\times 2,8=4\times 2,10=5\times 2$

Now in the above case the hypotenuse is $10.$

Therefore $x$ has to be $6.$

While the base is $x+2=6+2=8,$ so as to match the Pythagorean triplet $6,8,10.$

Hence, the sides are $6,8,10$.

Alternatively , we can use Pythagoras theorem, and formulate the quadratic equation whose roots are the above sides.