Question

Each side of an equilateral triangle mesures 8 cm
If the perpendicular from one of the vertices to the opposite side is 4√3 cm, find the area of the triangle​

Answer 1

Answer:

16(3)^(1/2)

Step-by-step explanation:

since area of triangle is 1/2* base* height

base will be 8 and height will be 4*(3)^(1/2)

Answer 2

Answer :

Area of triangle = 16√3 cm²

Formula to be used :

• Area of triangle = 1/2 × base × height

• Area of equilateral traingle = √3/4a²

Solution :

Given,

Side of equilateral traingle = 8 cm

Height of triangle = 4√3 cm

Area of a triangle = 1/2 × base × height

[Here, we can also use the formula of area of equilateral traingle i.e, √3/4a²]

Area = 1/2 × 8 × 4√3

= 16√3 cm²