# heronâ€™s formula. introduction to heronâ€™s formula

Post on 23-Dec-2015

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- 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