Question

the sum of the perpendicular drawn from an Interior point of an equilateral triangle is 20 cm what is the length of side of the triangle find???​

Answer 1

Answer:

13 cm this answer is right

Answer 2

Step-by-step explanation:

Given the sum of the perpendicular drawn from an Interior point of an equilateral triangle is 20 cm what is the length of side of the triangle find?

So let the equilateral triangle be ABC. BC is the base. Let the centre of the triangle be o. From draw 3 perpendiculars DEF so that D is the midpoint of base BC, F is the midpoint of AB and E is the midpoint of AC. Now join BO, CO and AO.

• Area of triangle ABC= area of triangle BOC + area of triangle AOC + area of triangle AOB
•                               (AB = BC = CA = a)
•                               = ½ x a x OD + ½ x a x OE + ½ x a x OF  
•                              = ½ a (OD + OE + OF)
•                    Area of equilateral triangle is √3 a^2 / 4
•                        √3 a^2 / 4 = ½ a (OD + OE + OF)
•                         So a = 2(OD + OE + OF) / √3
•                                  = 2 x 20 / √3
•                                   = 40 /√3 cm
•         Therefore length of the side of the triangle is 40 / √3 cm

Reference link will be

https://brainly.in/question/24948238