Question 252306
step 1:  draw a triangle and label the parts: base = 10 and legs = 13.
step 2: draw an altitude from the top vertex to the base. It should be parallel to the base. What this does is cut the base in half - 5 and 5.
step 3: use pythagorean theorem to find the height. 
{{{a^2 + b^2 = c^2}}}
{{{5^2 + b^2 = 13^2}}}
{{{b^2 = 144}}}
{{{b = 12}}}.
The area of a triangle is A = (1/2)bh. FOR us, this is A = (1/2)(10)(12) = 60.
we want a list of all triangles whose bh = 120. These are answers as (base,height)
(1,120), (2,60), (3,40), (4,30), (5,24), (6,20), (8,15), and (10,12), but we can't use this as it was the question. So, we get 7 options assuming integers only. The question says nothing about integer sides.