Question

what is area of equilateral triangle with perimeter 3k,and height 4cm

Answer 1

hai friend,

here is your answer,

area of triangle =1/2*base *height

perimeter of equilateral triangle =3 k
3*side =3 k
side = base = k

Area of triangle =1/2 *k *4
=4k / 2
=2k cm²

hope helped :)

Answer 2

height of equilateral triangle =4cm
√3a/2=4 ,where a is the side of equilateral triangle.
√3a=8
a=8/√3cm
side of equilateral triangle=8/√3
Area of an equilateral triangle=√3a^2/4
=√3(8/√3)^2/4
=16√3/3cm^2
perimeter=3side
3k=3×8/√3
k=8/√3cm...............1

Area of equilateral triangle=1/2×b×h
=1/2×8/√3×4
=2×8/√3
=2kcm^2 (by eq1)