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
to the nearest foot? (Hint: A perpendicular from a vertex of an equilateral triangle to its opposite side will intersect the opposite side
at its midpoint.)

Answer 1

Answer:

height = 5 ft

Step-by-step 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