Answer :

Given: Side 1 = a (let) = 18 cm


Side 2 = b (let) = 24 cm


Side 3 = c (let) = 30 cm



We know that,


Area of a scalene triangle = √(s(s-a)(s-b)(s-c))


Where,




s = 36 cm


Now,


Area of a scalene triangle = √(36cm × (36-18)cm × (36-24)cm × (36-30)cm)


= √(36cm × 18cm × 12cm × 6cm)


= √46656 cm2


= 216 cm2


Clearly,


Length of smallest side = 18 cm


Now,


We know that,


Area of a triangle = 1/2 × Base × Height


216 cm2= 1/2 × 18 cm × Height


216 cm2= 9 cm × Height



Height = 24 cm


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