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Find the area of the triangle …

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Find the area of the triangle whose sides are 8cm, 6cm and 4cm.

Posted by Hardeep Singh 7 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Prabjeet Singh 7 years, 5 months ago

{tex}\text {Area of triangle with all three sides known, can be found by Heron's Formula.}{/tex}

{tex}\text {Area} = \sqrt {s(s-a)(s-b)(s-c}{/tex}

{tex}\text {where, }a, b \text { and } c \text { are sides of triangle, and }s \text { is the semi-perimeter of triangle.}{/tex}

{tex}Here, a=8\text { cm}, b=6 \text { cm and }c=4 \text { cm.}{/tex}

{tex}\therefore s=\cfrac {a+b+c}{2}=\cfrac {8+6+4}{2} = \cfrac {18}{2} = 9 \text { cm.}{/tex}

{tex}\text {Area =} \sqrt {9(9-8)(9-6)(9-4)}{/tex}

{tex}\Rightarrow \text {Area = } \sqrt {9(1)(3)(5)}= 3 \sqrt {15} \text { sq. units Ans.}{/tex}

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