heron’s formula. introduction to heron’s formula

Download Heron’s formula. Introduction to heron’s formula

Post on 23-Dec-2015

359 views

Category:

Documents

26 download

Embed Size (px)

TRANSCRIPT

  • Slide 1
  • Herons formula
  • Slide 2
  • Slide 3
  • Introduction to herons formula
  • Slide 4
  • Introduction of another formula for area of a triangle Most of us are aware with : Area of a triangle = Where b = base and h = corresponding height of the triangle
  • Slide 5
  • Examples : 1) Find the area of a triangle having sides : AB = 4 cm BC = 3 cm CD = 5 cm
  • Slide 6
  • Solution of Example 1)
  • Slide 7
  • Continue
  • Slide 8
  • Example 2: 2) Rahul has a garden, which is triangular in shape. The sides of the garden are 13 m, 14 m, and 15 m respectively. He wants to spread fertilizer in the garden and the total cost required for doing it is Rs 10 per m 2. He is wondering how much money will be required to spread the fertilizer in the garden
  • Slide 9
  • Solution of Example 2) Given a = 13 m, b = 14 m and c = 15 m So, we will find the area of the triangle by using Herons formula.
  • Slide 10
  • Continue..
  • Slide 11
  • Continue Given the rate = Rs 10 per m^ 2 Now : Total cost = Rs. 10 * 84 = Rs 840/-
  • Slide 12
  • Area of a quadrilateral Suppose there is a quadrilateral having sides : a, b, c and d and diagonal r. The diagonal d divides the quadrilateral into 2 triangles. So : Ar(ABCD)= Ar(ABD) + Ar(BCD)
  • Slide 13
  • Continued 1)Area of triangle : ABD Herons formula: Putting the values we get :
  • Slide 14
  • Continued..
  • Slide 15
  • Slide 16
  • Solution of example As we have the formula written below for the area of a quadrilateral Where : a = 4cm b = 3 cm c = 5 cm d = 6 cm And r (diagonal ) = 7 cm
  • Slide 17
  • cm 2 Click on this arrow to continue
  • Slide 18
  • How to find the area of an equilateral triangle
  • Slide 19
  • Concept based question What equilateral triangle would have the same area as a triangle with sides 6, 8 and 10?
  • Slide 20
  • Solution First of all we will find the area of the triangle having sides : a = 6 units, b = 8 units and c = 10 units
  • Slide 21
  • Slide 22

View more