A triangle and a parallelogram have the same base and the same area. -Maths 9th

1 Answer

Answer :

Let   a = 26 cm,    b  = 28 cm,   c = 30 cm  ∴  s = (a + b + c)/2  = (26 + 28 + 30)/2  =  84/2 = 42  ∴  Area of triangle = root under (√s(s - a )(s - b)(s - c)   = root under (√42(42 - 26)(42 - 28)(42 - 30)) = root under (√42 x 16 x 14 x 12) = root under (√2 x 3 x 7 x 2 x 2 x 2 x 2 x 2 x 7 x 2 x 2 x 3) = 2 x 2 x 2 x 2 x 3 x 7   =  336 cm2 Now, Area of  parallelogram = Area of triangle  ⇒ Base x height = 336 ⇒ 28 x height = 336  ⇒   height  =  336/28 = 12 cm

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