Question

Ok so I got the answer x=6.9 and its rounded to the nearest tenth

Answer 1

Using the Similar Right Triangle theorem:

`\mathsf{(segment \ 1)/(altitude)=(altitude)/(segment \ 2)}`

Given:

• segment 1 = 6
• segment 2 = 8
• altitude =
  `x`

`\implies (6)/(x)=(x)/(8)`

`\implies 48=x^2`

`\implies x=√(48)`

`\implies x=√(16 \cdot 3)`

`\implies x=√(16) √(3)`

`\implies x=4√(3)`

`\implies x=6.9 \textsf{ (nearest tenth)}`