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Chapter: 11th Mathematics : UNIT 3 : Trigonometry

Area of a triangle (Heron’s Formula )

Heron’s formula is named after Hero of Alexendria, a Greek Engineer and Mathematician in (CE 10 - 70).

Area of a triangle (Heron’s Formula )

Heron’s formula is named after Hero of Alexendria, a Greek Engineer and Mathematician in (CE 10 - 70). This formula is used only when all the three sides are known.










8. In a ∆ ABC, prove that (a2 b2 + c2) tan B = (a2 + b2 c2) tan C.

9. An Engineer has to develop a triangular shaped park with a perimeter 120 m in a village. The park to be developed must be of maximum area. Find out the dimensions of the park.

10. A rope of length 12 m is given. Find the largest area of the triangle formed by this rope and find the dimensions of the triangle so formed.

11. Derive Projection formula from (i) Law of sines, (ii) Law of cosines.

 

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11th Mathematics : UNIT 3 : Trigonometry : Area of a triangle (Heron’s Formula ) | Definition, Formula, Solved Example Problems, Exercise | Mathematics


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