4
36. Sides of a triangle are 8 m., 17 m. & 15 m. respectively.
Find its area.​

1 thought on “4<br />36. Sides of a triangle are 8 m., 17 m. & 15 m. respectively.<br />Find its area.​”

1. [tex]\bf\purple{QuestioN:-}[/tex]

   Sides of a triangle are 8 m, 17 m, & 15 m respectively. Find its area.​

   [tex]\bf\red{AnsweR:-}[/tex]

   GiveN:-

   Sides of the triangular fields are 8 m , 17 m and 15 m.

   FormulA ApplieD:-

   Using Heron’s formula,

   Area of the Triangle = √s(s – a)(s -b)(s – c)

   SolutioN:-

   In this formula,

   ‘S’ here means the semiperimeter.

   Perimeter = ( 8 + 17 + 15 ) m = 40 m

   Then semiperimeter,

   [tex]\bf{S=\dfrac{40}{2}=20\:\:m}[/tex]

   Now we can apply the formula here,

   ie, area of the triangle = √s(s – a)(s -b)(s – c)

   [tex]\bf\purple{\implies\sqrt{20(20-8)(20-17)(20-15)}}[/tex]

   [tex]\bf\purple{\implies\sqrt{20(12)(3)(5)}}[/tex]

   [tex]\bf\purple{\implies\sqrt{20\times12\times3\times5}}[/tex]

   [tex]\bf\purple{\implies\sqrt{3600}}[/tex]

   [tex]\bf\purple{\implies60\:m^2}[/tex]

   The area of the triangle = 60 m^2.

   Happy Learning! ☺

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