If the area of right angle triangle is given what is two ways to solve?

1. Using the formula for the area of a triangle: A = 1/2 * base * height. Given the area, base, or height, you can solve for the missing side by rearranging the formula.

2. Using the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the two shorter sides of the triangle and c is the hypotenuse. Given the area, you can calculate the missing side lengths by rearranging the formula and solving for the unknown side.

Method 1: Using Base and Height

1. Let the base of the triangle be b and the height be h.
2. The area of a right angle triangle is given by the formula: Area = (1/2) - b - h
3. Solve for either b or h by rearranging the formula.

Method 2: Using Hypotenuse and Sine/Cosine Ratios

1. Let the hypotenuse of the triangle be c.
2. Let the angle opposite the base be θ.
3. The sine ratio is defined as: sin(θ) = h/c
4. The cosine ratio is defined as: cos(θ) = b/c
5. Use the sine or cosine ratio to find h or b, and then substitute it into the area formula: Area = (1/2) - b - h