Answer:
No, it does not.
Explanation:
According to the Triangle Inequality Theorem, the sum of any two sides of a triangle is greater than the length of the third side. Usually, you pick the two smaller sides and compare them to the length of the third side.
10+9 = 19
19 < 20
In short,
a + b > c
However, a + b is not greater than c.
This triangle does not exist.