Math, asked by om1879491, 6 days ago

sides of triangle is 10cm 12cm 8cm find its semi perimeters​

Answers

Answered by Anonymous
61

Given :-

  • Sides of a triangle are 10 cm , 12 cm and 8 cm

To Find :-

  • Semi-perimeter of this triangle.

Solution :-

~Here, we're given the sides of a triangle and we need to find the semi-perimeter of that triangle. We can easily find the semi-perimeter by finding the sum of all the sides ( perimeter ) and the by dividing it by 2.

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As we know that ,

★ Semi-perimeter of a triangle = Sum of all sides ÷ 2  

or

Semi-perimeter of a triangle = Perimeter of triangle ÷ 2

Finding the semi-perimeter :-

⟶ 10 cm + 12 cm + 8 cm ÷ 2

⟶ 10 cm + 20 cm ÷ 2

⟶ 30 cm ÷ 2

⟶ 15 cm

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Hence,

  • The semi-perimeter of this triangle is 15 cm

Answered by thebrainlykapil
101

Given :

  • First Side of Triangle (a) = 10cm
  • Second Side of Triangle (b) = 12cm
  • Third Side of Triangle (c) = 8cm

To Find :

  • Semi perimeter of Triangle.

Solution :

We know that,

⠀⠀Semi perimeter = a + b + c/2

⟶⠀Semi Perimeter = a + b + c/2

⟶⠀Semi Perimeter = 10 + 12 + 8/2

⟶⠀Semi Perimeter = 10 + 20/2

⟶⠀Semi Perimeter = 30/2

⟶⠀Semi Perimeter = 15cm

So, Semi perimeter of Triangle is 15cm

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More About Triangles :

  • A triangle has four vertices
  • A triangle has three edges
  • A triangle has three sides
  • A triangle has three angles
  • The sum of angle of a triangle is equal to 180⁰
  • Perimeter of triangle = Sum of all sides
  • Area of triangle = 1/2 × base × height
  • Area of triangle (heron's formula) = √s(s- a) (s - b) (s -c)
  • Semi perimeter of triangle = a+b+c/2
  • Triangle is closed and 2D shape
  • Equilateral triangle, scalene triangle and isosceles triangle are different types of triangles according to their sides
  • Acute triangle, right triangle and obtuse triangle are different types of triangles according to their angles
  • A triangle is also a polygon

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