The three triangles meaning and they are given as follows,
An Equilateral triangle is a triangle where all the three sides are equal in length.
Area of an equilateral triangle = s2 √`4/3` square units
Perimeter of equilateral triangle = 3s units
An Isosceles triangle is a triangle where two sides are equal and one side is different.
Area of an isosceles triangle =`1/2` b x h
Perimeter of isosceles triangle = 2 (slant height) x base units
A scalene triangle is a triangle where all the three sides are different in length.
Area of a scalene triangle = √s(s-a)(s-b)(s-c)
Where, s = `(a + b + c)/2`
Find the area and perimeter of a meaning equilateral triangle whose side length is equal to 6 centimeter.
Area of an equilateral triangle = s2 `sqrt(3/4)` square centimeter
= 36 × 1.732/4
= 15.58 square centimeter
Perimeter of equilateral triangle = 3s
= 3 × 6
= 18 centimeter
What is the area and perimeter of the triangle shown in the given figure ?
Area of the given triangle = `(1)/(2)` bh square units
Here, b = 9 and h = 4
Area =`(1)/(2)` × 9 × 4
= 9 × 2
= 18 square inches
To find the perimeter of this triangle, we need the slant height.
In the given diagram, the slant height of the triangle can be found using Pythagoras theorem
s2 = 42 + 32
s2 = 16 + 9
s2 = 25
s = 5 inch
So the perimeter of this triangle = 2s × b
= 2 × 5 × 9
= 90 inches
Find the area and perimeter of a triangle with side lengths 2 ft, 4 ft, and 8 ft.
The given dimensions represents a scalene triangle
so, the area of a scalene triangle =`sqrt(s(s-a)(s-b)(s-c))`
To find s,
Here, a = 2 ft, b = 4 ft, c = 8 ft.
s = 2+4+8/2
Perimeter of the triangle = 2 + 4 + 8
= 14 ft