1 Solve for the lengths x and y x y 2 Find the area of an is

1. Solve for the lengths x and y x y 2. Find the area of an isosceles triangle with 29 ft legs and 40 ft base. 3. Solve for x, y, and z. Write your answers in simplest radical form. 2509B 40 (over)

Solution

1)
The left is a right triangle.
We use the pythogoras theorm:
x = sqrt(50^2 - 30^2) = 40

Now, we use this side with x, and y , apply the
pyhtogoras theorm to find y

y^2 = x^2 +9^2
40^2 +81 = x^2
x = 41