Find a area of a triangle whose sides are 6.5cm 7cm and 7.5cm by using heron's formal
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_____Here's your Answer _______
Given :-
Sides are :- 6.5 cm , 7cm and 7.5cm.
Now,
![s = \frac{6.5 + 7 + 7.5}{2} \\ \\ = > s = \frac{21}{2} \\ \\ = > s = 10.5cm s = \frac{6.5 + 7 + 7.5}{2} \\ \\ = > s = \frac{21}{2} \\ \\ = > s = 10.5cm](https://tex.z-dn.net/?f=s+%3D++%5Cfrac%7B6.5+%2B+7+%2B+7.5%7D%7B2%7D++%5C%5C++%5C%5C++%3D++%26gt%3B+s+%3D++%5Cfrac%7B21%7D%7B2%7D++%5C%5C++%5C%5C++%3D++%26gt%3B+s+%3D+10.5cm)
Now,
By Heron's Formula,
![= > \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = > \sqrt{10.5(10.5 - 6.5)(10.5 - 7)(10.5 - 7.5)} \\ \\ = > \sqrt{10.5 \times 4 \times 3.5 \times 3} \\ \\ = > \sqrt{441} \\ \\ = > 21 = > \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = > \sqrt{10.5(10.5 - 6.5)(10.5 - 7)(10.5 - 7.5)} \\ \\ = > \sqrt{10.5 \times 4 \times 3.5 \times 3} \\ \\ = > \sqrt{441} \\ \\ = > 21](https://tex.z-dn.net/?f=+%3D++%26gt%3B++%5Csqrt%7Bs%28s+-+a%29%28s+-+b%29%28s+-+c%29%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Csqrt%7B10.5%2810.5+-+6.5%29%2810.5+-+7%29%2810.5+-+7.5%29%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Csqrt%7B10.5+%5Ctimes+4+%5Ctimes+3.5+%5Ctimes+3%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Csqrt%7B441%7D++%5C%5C++%5C%5C++%3D++%26gt%3B+21)
Therefore,
Area of Triangle is 21cm^2.
✔✔✔✔
_____Here's your Answer _______
Given :-
Sides are :- 6.5 cm , 7cm and 7.5cm.
Now,
Now,
By Heron's Formula,
Therefore,
Area of Triangle is 21cm^2.
✔✔✔✔
sonabrainly:
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