SOLUTION: Side CT of the right triangle CAT is 3 sm long. The hypotenuse is 5 sm long. How many square centimeters is the area of CAT? A) 4 B) 6 C) 7 1/2 D) 12 E) 60

Algebra ->  Triangles -> SOLUTION: Side CT of the right triangle CAT is 3 sm long. The hypotenuse is 5 sm long. How many square centimeters is the area of CAT? A) 4 B) 6 C) 7 1/2 D) 12 E) 60      Log On


   



Question 832197: Side CT of the right triangle CAT is 3 sm long. The hypotenuse is 5 sm long. How many square centimeters is the area of CAT?
A) 4
B) 6
C) 7 1/2
D) 12
E) 60

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
A = (L * W) / 2(for a triangle instead of a rectangle)
We know that L = 3
We can find W by using a^2 + b^2 = c^2
3^2 + W^2 = 5^2
9 + W^2 = 25
Subtract 9 from each side
W^2 = 16
Square root
W = 4
Now we just multiply L * W
3 * 4 = 12
Half of that (for a triangle) is
6 <<--