Question

The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, end text deep. The vertical height is 7\,\text{cm}7cm7, start text, c, m, end text. What is the length of the side edge, sss, of the triangular prism?

Answer 1

The answer is "7.62 cm ".

Explanation:

Given:

`Width = 6\ cm \\\\Depth = 4 \ cm\\\\Vertical \ height = 7 \ cm\\\\`

Dividing the prism's face into two halves:

As just a result, the vertical height becomes 7cm, as well as the width, becomes
`(6\ cm)/(2) = 3 \ cm`. If the 's' on both sides of the edge is equal:

`s^2 = width^2 + height^2\\\\`

`= √((width^2 + height^2))\\\\`

`= √((3^2 + 7^2))\\\\= √(9 + 49)\\\\= √(58)\\\\= 7.62 \ cm`