an isosceles triangle has perimeter 30cm and each of the equal sides is 12cm. find the area of the triangle
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hiii!!!
here's Ur answer...
given the Length of the equal sides of the isosceles triangle is 12cm.
let the sides of the isosceles triangle be a, b and c
equal sides of the isosceles triangle be a and b and unequal one be c.
perimeter of the isosceles triangle is given = 30cm
therefore a + b + c = 30cm
==> 12 + 12 + c = 30cm
==> 24 + c = 30cm
==> c = 30 - 24
==> c = 6cm
therefore the third side of the isosceles triangle is 6cm.
s (semi-perimeter) of the triangle = 30/2
= 15cm
area of the triangle by Heron's formula :-
= √[s(s-a)(s-b)(s-c)]
= √[15(15-12)(15-12)(15-6)]
= √(15×3×3×9)
= √1215
= 9√15cm²
hope this helps..!!
here's Ur answer...
given the Length of the equal sides of the isosceles triangle is 12cm.
let the sides of the isosceles triangle be a, b and c
equal sides of the isosceles triangle be a and b and unequal one be c.
perimeter of the isosceles triangle is given = 30cm
therefore a + b + c = 30cm
==> 12 + 12 + c = 30cm
==> 24 + c = 30cm
==> c = 30 - 24
==> c = 6cm
therefore the third side of the isosceles triangle is 6cm.
s (semi-perimeter) of the triangle = 30/2
= 15cm
area of the triangle by Heron's formula :-
= √[s(s-a)(s-b)(s-c)]
= √[15(15-12)(15-12)(15-6)]
= √(15×3×3×9)
= √1215
= 9√15cm²
hope this helps..!!
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