What is the area of a triangle whose sides are 12, 12 and 6. Using herons formula
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What is the area of a triangle whose sides are 12, 12 and 6. Using herons formula
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☆ Solution ☆
Given
To find
Step-by-Step-Explaination
According to given question :
As we know that herons formula
Area of Triangle =
Area of Triangle =
Area of Triangle =
Area of Triangle =
Area of Traingle = 34.85685
Hence,
Area of Triangle is 34.85685.
Verified answer
✦ Question :-
What is the area of a triangle whose sides are 12, 12 and 6.
✦ Answer :-
Area of Triangle is 9√15cm²
✦ Given :-
Sides of the Triangle = 12 , 12 and 6.
✦ To Find:-
Area of Triangle = ?
✦ Solution :-
Let's find out Semi perimeter :-
Semi-perimeter = ( a + b + c)/2
✦ s = ( 12 + 12 + 6)/2
✦ s = 30/2
✦ s = 15 units.
Now,
Area of Triangle = √[ s ( s-a) (s-b) (s-c) ]
↠ Area = √[ 15 ( 15 -12)(15-12)(15-6) ]
↠ Area = √[ 15 × 3 × 3 × 9 ]
↠ Area = √15×3×3×9
↠ Area = √5×3×3×3×3×3
↠ Area = 3×3√5×3
↠ Area = 9√15cm²
↠ Area = 9√15cm² .
Hence,
Area of Triangle is 9√15cm²
Additional Information :-
❥ Perimeter of Rectangle = 2( L + B )
❥ Perimeter of square = 4 × Side
❥ Perimeter of triangle = AB + BC + CA
❥ Area of Rectangle = L × B
❥ Area of Square = ( side ) ²
❥ Area of Rhombus = Product of Diagonal/2.
❥ Area of Parallelogram = Base × Height.
❥ Area of triangle = 1/2 × base × height .