Question

Solve similar triangles advanced Pleasee help! TIA

Answer 1

`x = 3.5`

Explanation:

Given

Attached Triangle

Required

Find x

To solve for x, we make use of the following equivalent ratios:

`CB : BA = ED : DA`

Where:

`CB = 2`

`BA = 4`

`ED = x`

`DA = 3 + 4 = 7`

So, the expression becomes:

`CB : BA = ED : DA`

`2 : 4 = x : 7`

Express as fraction

`(2 )/( 4) = (x )/( 7)`

Multiply both sides by 7

`7*(2 )/( 4) = (x )/( 7)*7`

`7*(2 )/( 4) = x`

`(7*2 )/( 4) = x`

`(14)/(4) = x`

`3.5 = x`

`x = 3.5`