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The area of an isosceles triangle …

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The area of an isosceles triangle is 5000 m2 find it's perimeter .It is a right angled triangle

Posted by Mehak Gera 8 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Hans Raj 8 years, 7 months ago

let us consider a right Ld iscosceles triangle ABC rt Ld at B

AB = BC=x (Given as it is iscosceles triangle)

area = 1/2 x base x height

= 1/2 x x = 1/2 x² = 5000

x2=10000

x=100 m

AB = 100 m

BC = 100 m

AC2=AB2 + BC2

= (100)2 + (100)2

= 10000 + 10000

= 20000

AC = 100{tex} \sqrt{2}{/tex} m

thus perimeter = AB + BC +AC = 100 + 100 + 100 {tex} \sqrt{2}{/tex}

= 100(2 + {tex} \sqrt{2}{/tex}) m

1Thank You

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