naolab naolab
  • 26-11-2020
  • Mathematics
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4.Given AABC, with AB = 5cm, BC = 7cm and AC = 8cm, what is the area of the triangle?
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Lincy990
Lincy990 Lincy990
  • 26-11-2020
In Triangle ABC
We have AB=5 cm
BC=7 cm
AC=8 cm

Use Heron's formula with
sides a,b and c
Perimeter,s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)

S=(AB+BC+AC)/2
=(5+7+8)/2
=20/2
=10cm

Area of ABC= √10(10-5)(10-7)(10-8)
= √10(5)(3)(2)
= √300
=17.3205 cm
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