Question

The perimeter of a triangle is 42 cm the length og the smalledt side is 12
cm and the length of the longest side is 16 cm. find the length of the third side . find the area of the triangle????

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Answer 1

Answer:

ANSWER

R.E.F image

Perimeter = 42 cm

∴ 2a+b=42 cm

Also ,

b=1.5a

2a+1.5a=42

3.5a=42 a=12 cm

b=1.5×12

= 18 cm

semiperimeter =

2

a+b+c

=

2

2×12+18

=21cm

Area by Heron's formula,

A=

s(s−a)(s−b)(s−c)

21(21−12)(21−12)(21−18)

21×9×9×3

=22

7

cm

2

Also, area =

2

1

×base×height

27

7

=

2

1

×18×height

∴h=

2

3

7

cm