Find the area of triangle whose sides are 42cm,34 cm and 20cm in length. Hence find the height corresponding to the longest side.

Given,

a = 42 cm

b = 34 cm

c = 20 cm

Therefore,

=

= 48

We know that,

Area =

Putting the values of a, b and c in the formula, we get

=

=

=

= 4 × 3 × 2 × 14

= 336 cm^{2}

Longest side of the triangle = b = 42 cm

Let h be the corresponding height to the longest side

Therefore,

Area of triangle =

336 =

42 × h = 336 × 2

h =

= 16 cm

Hence, corresponding height of the triangle is 16 cm

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