Question

Equilateral triangle measures 9 cm find the height H of the triangle

Answer 1

Answer:

7.8cm

Step-by-step explanation:

Draw a perpendicular from any vertex to the opposite side of the triangle, Now consider any 1 small triangle -

Base = 9/2 and Hypotenuse = 9

Now by Pythagoras theorem-

hypotenuse^2 = Base^2 + Height^2

=> Height = √(h^2 - B^2)

=> H = √{9^2 - (9/2)^2}

=> H = √(81 - 81/4)

=> H = √60.75 ≈ 7.8 cm

Answer 2

I have attached the answer in .png format