Question

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

Answer 1

Let me help you with this question.
One side of the triangle is given as 13 cm.
We have to find the other two sides.
By Pythagorean Theorem, we know that,
Hypotenuse² = Base² + perpendicular²
Let's assume that the hypotenuse of the triangle is 13 cm.
So, 
13² = Base² + perpendicular² ......... (1)
Since, 13² can be written as 
13² = 5² + 12²  ............. (2)
Comparing equations (1) and (2), we see that the other two sides of the triangle are 5 cm and 12 cm.
Hope it is helpful to you. Thanks.