If the base of the triangle is the leg that is 13 then the leg that is not known (because it is a right angle triangle) is the perpendicular height.
As the Area of a triangle = 1/2 * base * height, we first must calculate the height.
Using Pythagoras's Theorem that states that "The square of the hypotenuse is equal to the sum of the squares of the other two sides"
17^2 = 13^2 + height^2
289 = 169 + height^2
Subtract 169 from both sides of the equation
120 = height^2
Therefore height = sqrt(120)
Therefore Area of triangle = 1/2 * 13 * sqrt(120)
= 6.5 * 10.95445115
= 71.20393248
= 71.20 to two decimal places
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