Answer:
One side is 16,other side is 63 and hypotenuse is 65.
Step-by-step explanation:
We have been given length of one leg of the triangle which is 16
And other length of the leg is odd
Let us take other leg length be an odd number say
Using Pythagoras theorem in right angle triangle which is:
[tex]hypotenuse^2=leg^2+leg^2[/tex]
On substituting the values in the formula
And consider the other leg so that it will form a perfect square and we get natural number for hypotenuse.
Let the other leg be 63 on substituting the values in the formula we get:
[tex]hypotenuse^2=16^2+63^2[/tex]
[tex]hypotenuse^2=256+3969[/tex]
[tex]hypotenuse^2=4225[/tex]
[tex]\Rightarrow hypotenuse=65[/tex]
Therefore, one side is 16 other side is 63 and hypotenuse is 65.
