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Q.3 Find the area of a triangle, two sides of which are 8cm and 14cm and the perimeter is 42cm.​

Answer»

ong>Answer:

8 + 14+ x = 42 ( x = THIRD side )

Therefore x = 42 - 22

= 20 cm

using heron's Formula

s = a + b + C / 2

= 8 + 14 + 20 /2

= 42 / 2 = 21 cm

A = √ s( s - a ) ( s - b) (s - c)

√ 21 ( 21 - 8 ) ( 21 - 14 ) ( 21 - 20 )

√ 21 × 13 × 7 × 1

√ 3 × 7 × 13 × 7 × 1

7 √ 3 × 13

7 √ 39 cm^2

Hope this helped you



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