Quadratic Equations and their Applications

A right triangle is a triangle with a90-degree angle.These types of triangle can be found all around us and we have a handy formula that describes the relationship between all three sides of right triangles,The Pythagorean theorem.This says that for any right triangle that has sides of length a and b,and hypotenuse of length c,the following equation holds:a²+b²= c²

Complete both parts.

a)You're locked out of your house and the only open window is on the second floor,26feet above the ground.You need to borrow a ladder from one of your neighbors.There's a rose garden along the edge of the house,so you'll have to place the ladder9feet from the house.What length of ladder do you need to reach the window? Show your work.

b)Consider your current or future profession and your everyday life.Can you envision using right triangles in your professional activities or everyday activities?Please describe your situation and how you would use the Pythagorean Theorem to find all three lengths of the triangle.