The hypotenuse of an isosceles right triangle is 4sqrt(2) units. How many square units are in the area of the triangle?
Use Pythagoras's Theorem:
[4sqrt(2)]^2 = 2S^2
32 = 2S^2
S^2 =32 / 2 = 16
S = Sqrt(16) = 4 - The 2 sides of an isosceles Right triangle
Area =[Base x Height] / 2
Area =[4 x 4] / 2 = 8 units^2, or use Heron's Formula to find the same.
we square 4sqrt2 to get 32 and it is isocles so the sides are sqrt16 and sqrt16 and the area is 4*4/2=4*2=8