Question

The question is in the picture.

Answer 1

x = 7
`√(3)`

Triangle area formula: base * height * 1/2

We are given:

Base - 14 cm

Height - x

Using the pythagorean theroem (a^2 + b^2 = c^2) we can figure out the height.

We are given:

Side a - 14 / 2 = 7 cm

Side b - the height (x)

Side c - 14 (it's an equilateral triangle)

Now, substitute the given values:

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 147

x =
`√(147)`

x = 7
`√(3)`