bellamaalouf bellamaalouf
  • 17-06-2021
  • Mathematics
contestada

In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.
Find the area of triangle ABC.

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 17-06-2021

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 [tex]Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}[/tex]

Find Area :

[tex]s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15[/tex]

[tex]Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\[/tex]

      [tex]= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}[/tex]

      [tex]= 42 . 43 \ cm^2[/tex]

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