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Perimeter of a triangle is 450 cm its sides are in the ratio 13:12:5.find are of triangle

Posted by Sahibdeep Kaur 7 years, 6 months ago

CBSE > Class 09 > Mathematics

2 answers

Ankush Kumar 7 years, 6 months ago

If perimeter = 450,semi perimeter =450/2 i.e.= 225 Now, Let the sides be 13x,12x,5x It is given that perimeter =450 Therefore, Sum of all sides = 450 13x +12x +5x = 450 30x = 450 X= 450/30 X=15 Now, sides = 13x = 13×15 =195 12x =12×15=180 5x =5×15=75 Area,using heron's formula √s(s-a)(s-b)(s-c) √225(225-195)(225-180)(225-75) √225×30×45×150 √3×3×5×5×2×3×5×3×3×5×2×3×5×5 √3×3×3×3×3×3×5×5×5×5×5×5×2×2 Taking out one no. From each pair. 3×3×3×5×5×5×2×2 =6750cm²

1Thank You

Deepanshu Sharma 7 years, 6 months ago

0Thank You

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