How do you prove Pythagorean Theorem by paper cutting?
- Cut out a right angled triangle ABC, with sides AC=8cm, AB=10cm, BC=6cm.
- Cut 3 squares of dimensions 6cm x 6cm, 8cm x 8cm and 10cm x 10cm.
- Place these squares on the sides of the triangle ABC corresponding to the sides of the square.
How do you verify the Pythagorean Theorem by activity method?
- Step 1: Paste a sheet of white paper on the cardboard.
- Step 2: Make an exact replica of this ΔABC on the other paper.
- Step 3: Produce the side DA of the square DEBA to meet the side IH of the square ACHI at M.
- Step 4: Produce the side EB of the square DEBA to meet the side CG of the square BFGC at P.
What is the easiest way to prove Pythagorean Theorem?
In a right triangle, where a and b are the legs, and c is the hypotenuse, we have (because the right angle is opposite the hypotenuse): c² = a² + b² – 2(a)(b)(cos(90)). Because cos(90) = 0, the whole equation simplifies to c² = a² + b², which is the Pythagorean Theorem.
How can Pythagoras be used in real life?
Real Life Application of the Pythagoras Theorem The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal.
What are the applications of Pythagoras theorem?
Applications of Pythagoras Theorem It is used to find the length of the diagonal of a square. Pythagoras theorem is used in security cameras for face recognition. Architects use the technique of the Pythagoras theorem for engineering and construction fields. The Pythagoras theorem is applied in surveying the mountains.
What is Pythagorean Theorem its proof and application?
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
What are the real life applications of the Pythagorean Theorem?
Application of Pythagoras theorem in real life
- To calculate the length of staircase required to reach a window.
- To find the length of the longest item can be kept in your room.
- To find the steepness of the hills or mountains.
- To find the original height of a tree broken due to heavy rain and lying on itself.
How Pythagorean Theorem changed the world?
The Greek mathematician Pythagoras is credited with writing down the version of the equation used today, according to the University of St. Andrews in Scotland. Along with finding use in construction, navigation, mapmaking and other important processes, the Pythagorean theorem helped expand the very concept of numbers.
How is Pythagorean Theorem used in real life scenarios?
Real Life Application of the Pythagoras Theorem
- The Pythagorean Theorem is useful for two-dimensional navigation.
- Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras’ theorem to complete their work.