Question

One of the sides of an equilateral triangle is 61. What is the height of the triangle?

geometry

Answer 1

given, `"side = 61 units"`

`"area of the triangle" = color(magenta)(sqrt3/4 (side)^2`
`A=sqrt3/4 * 61*61`

also, `"area of the triangle" = color(magenta)(1/2 (base)(height)`
`sqrt3/4 * 61*61 = 1/2 * 61 * (height)`
`sqrt3/2 * 61 = (height)`

`"height" = (61sqrt3)/4 units`

-Sahar :)