Question

the legs of a triangle are 4 and 9. The third leg can be what two values?

Answer 1

To determine the possible lengths of the third leg of the triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the two given legs are 4 and 9. Let the length of the third leg be x.

Therefore, the possible values for x can be:
- x > 9 - 4 = 5
- x < 9 + 4 = 13

So, the possible values for the length of the third leg are between 5 and 13 (5 < x < 13).