Answer:
Possible lengths of other two sides can be 5 and 12.
Step-by-step explanation:
Let the given triangle be a scalene triangle.
Then, the condition for three sides to form a triangle is sum of any two sides should be greater than the third side.
Take 5 and 12.
Now, 5 + 12 = 17 > 13
12 + 13 = 25 > 5
13 + 5 = 18 > 12
Hence, 5, 12 and 13 are possible lengths of sides of a triangle.
Moreover, if the given triangle is right angled, and its hypotenuse is 13,
then, by Pythogoras theorem,
[tex]13^{2} =5^{2} +12^{2}[/tex]
Hence, the possible lengths of other two sides can be 5 and 12.
