Question

Calculate the area of an equilateral triangle whose perimeter is 48 cm
and also find the height

Answer 1

as it is a equilateral triangle it has each side of 48/3=16

area of triangle=

$\frac{height \times base}{2}$

so for the height will will divide the triangle into 2 right angled triangle

with Base 8cm and hypotenuse 16cm

using phythagorean theorem

${8}^{2} + {x}^{2} = {16}^{2}$

$64 - 256 = - {x}^{2}$

$- 192 = - {x}^{2}$

$- x = \sqrt{ - 192}$

height=

$\sqrt{192}$

area=

$\frac{ \sqrt{192} \times 16}{2}$

$\sqrt{192} \times 16$

plz mark brainliest