Hypotenuse and Right Triangle
Quadratic Equations and their Applications
A right triangle is a triangle with a 90 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.
For your initial response: Complete both parts.
a) You're locked out of your house and the only open window is on the second floor, 26 feet 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 ladder 9 feet from the house. What length of ladder do you need to reach the window?
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.
A) a^2 + b^2 = c^2
26^2 + 9^2 = c^2
676 + 81 = c^2
757 = c^2
√757 = c
Calculate the Square root of 757 and to find out your ladder length.
27.514= 28 rounded B)
I do not feel that I live or work in a Pythagorean Theorem profession now. I could see myself possibly using it in in my home life if I need to plan home improvements. I currently work in an office and do payroll and a dispatcher. So I feel that I would have more of a chance using it at home.
A right triangle is a triangle with a 90 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.
For your initial response: Complete both parts.
a) You're locked out of your house and the only open window is on the second floor, 26 feet 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 ladder 9 feet from the house. What length of ladder do you need to reach the window?
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.
A) a^2 + b^2 = c^2
26^2 + 9^2 = c^2
676 + 81 = c^2
757 = c^2
√757 = c
Calculate the Square root of 757 and to find out your ladder length.
27.514= 28 rounded B)
I do not feel that I live or work in a Pythagorean Theorem profession now. I could see myself possibly using it in in my home life if I need to plan home improvements. I currently work in an office and do payroll and a dispatcher. So I feel that I would have more of a chance using it at home.