sides of triangle is 10cm 12cm 8cm find its semi perimeters
Answers
Answered by
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
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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