Table of Contents
Last modified on September 6th, 2022
In geometry, a triangle is a plane figure that is enclosed by three line segments.
It is the total space enclosed by the triangle. The formula is given below:
Problem: Finding the area of a triangle when the BASE and HEIGHT are known
Find the area of a triangle whose base is 6 cm and height is 4 cm?
As we know,
A= ½ (b × h)
= ½ (6 × 4) cm
= 12 cm2
Problem: Finding the area of a triangle when only SIDES are known
Find the area of a triangle whose three sides are 3 cm, 4 cm, and 5 cm.
Here we will use the Heron’s formula,
A = √s(s–a)(s–b)(s–c), where s = ½ (a+b+c)
In this triangle, s = ½ (3 cm + 4 cm+ 5 cm) = 6 cm
Since, A= √s(s–a)(s–b)(s–c)
= √6(6-3)(6-4)(6-5)
= √36
= 6 cm2
It is the distance covered around the edges of a triangle or simply the length of the boundary covered. The formula is given below:
Find the perimeter of a triangle whose three sides are 4 cm, 6 cm, and 8 cm
As we know,
P = a + b + c, where a, b, c are the measure of three sides
= 4 cm + 6 cm + 8 cm
= 18 cm
Triangles are classified into two groups: based on sides, 1) scalene, 2) isosceles, and 3) equilateral triangles; based on angles, 1) acute angle, 2) obtuse angle, and 3) right or right-angled triangles.
The differences between the types are given below:
Apart from the above three types, there is Equiangular Triangle with all three internal angles equal to 60° and, thus having all sides equal, similar to an Equilateral Triangle
Last modified on September 6th, 2022
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