Question

Determine if a triangle with sides of given lenght is a right triangle. (1) 9, 12, 15​

Answer 1

Step-by-step explanation:

We can determine it by using Pythagoras theorem.

It the square of longest side (hypotenuse) is equal to the sum of the square of other sides then it is a right ∆.

${15}^{2} = {12}^{2} + {9}^{2} \\ 225 = 144 + 81 \\ 225 = 225$

Hence it is a right ∆.

Answer 2

Answer:

Using pyhtogoras theorem..

The answer is yes

Step-by-step explanation:

The longest side is the hypotenuse

i.e 15

Therfore

If it is a right triangle

$9 {}^{2} + 12 {}^{2} = 15 { }^{2} \\ 81 + 144 = 225 \\ 225 = 225$

Therefore the above numbers do form a pythogorean triplet