Question

Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent, rounded

Answer 1

5 ft

Explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer 2

5.20 ft (nearest hundredth)

Explanation:

`\textsf{Height of an equilateral triangle}=\frac12(√(3)x)\quad \textsf{(where}\:x\:\textsf{is the side length)}`

Given:

• 
  `x` = 6 ft

`\begin{aligned}\implies \textsf{Height} & =\frac12(6√(3))\\ & =3√(3)\\ & =5.20\: \sf ft \: \textsf{(nearest hundredth)}\end{aligned}`