Question

Each side of an equilateral triangle is 32 centimeters, as shown. What is the approximate height h of the triangle?



A.
16 cm

B.
28 cm

C.
30 cm

D.
32 cm

Answer 1

http://lv.k12.com/mediaFiles/Ninth_Grade/Math/Unit17844/Lesson69374/VHS_PA_S2_04_L209_L309_LQ_Q4.gif

Answer 2

Use the Pythagorean theorem with\[\left(\frac{32}{2}\right)^2+h^2=32^2.\]Solve for \(h\).

Answer 3

the height of that equilateral triangle is basically the longer leg of the 30-60-90 triangle. using the properties of the 30-60-90 triangle, the side you want is just (the shortest side)*sqrt3