Question

find the area of an equilateral triangle whose perimeter us 18 cm. also find the sum of its three altitudes​

Answer 1

Answer:

perimeter of an equilateral triangle-18cm

to find- area and sum of its three diagnonals

soln- perimeter of an equilateral triangle- 3*side

18-3*s

18/3=s

6- s

hence area = root 3/4 *s square

area - 3/4*6*6

area-27cm squared

to find height

area = 1/2* bh

18-1/2*6*h

18-3*h

18/3-h

6-h

sum of three altitudes- 6+6+6( all altitudes in an equilateral triangle are same)

sum of three altitudes - 18 cm