# Find the area of

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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