Question

if the area of the equilateral triangle is 25√3,find its perimeter and altitude correct to three significant figure​

Answer 1

Answer:

perimeter = 30

altitude = 8.66

Step-by-step explanation:

Area of triangle = 25 √3

area of triangle = √3 * side² / 4

thus,

√3 * side²/ 4 = 25 √3

side² / 4 = 25

side²= 25 * 4 = 100

side = √100

side = 10 units

thus,

perimeter = 3 * side

perimeter = 3 * 10 = 30

and,

altitude(height) = 2 Area / base

height = 2 * 25√3 / 10

= 50√3 / 10

= 5√3

=5 * 1.732                                                                   (As √3 = 1.732)

height = 8.66 units