Applications of pythagorean theorem

Applications of pythagorean theorem

We will need to apply Pythagorean Theorem often in our daily life. In this lesson, we will focus on tackling some Pythagorean Theorem word problems.
Basic Concepts: Pythagorean theorem, Estimating square roots, Using the pythagorean relationship
Related Concepts: Determine square roots of rational numbers, Using exponents to describe numbers, Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Lessons

  • Introduction
    a)

    i) What is Pythagorean Theorem?

    ii) How to use Pythagorean Theorem to find sides of a triangle?


    b)
    What are Pythagorean Triples?

  • 1.
    An aeroplane flew from point A to point B, and then to Point C. How far is the plane from point A? Refer to the diagram below.
    Applications of pythagorean theorem to calculate distance
  • 2.
    A 2.5 m long ladder is put against a wall. If the base of the ladder is 1.25 m away from the wall, what is the length from the ground to the point where the top of ladder touches the wall?
  • 3.
    Which triangle has a longer perimeter?
    Triangle A
    Applications of pythagorean theorem to calculate perimeter of triangles
    Triangle B
    Applications of pythagorean theorem to calculate perimeter of triangles
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11.
Pythagorean Theorem
11.1
Squares and square roots
11.2
Pythagorean theorem
11.3
Estimating square roots
11.4
Using the pythagorean relationship
11.5
Applications of pythagorean theorem
First Year Maths
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