Question

We know that the lines (AC) and (BD) are parallel.AE = 4.2 × 10^4; BE = 3.2 × 10^3; CE = 6.8 × 10^5Calculate ED length

Answer 1

`ED=5.18*10^4`

1) Since the lines AC and BD are parallel and given the measurements, we tell these triangles are similar.

2) Based on that we can write out the following ratios:

`\begin{gathered} (3.2\cdot \:10^3)/(4.2\cdot \:10^4)=(x)/(6.8\cdot \:10^5) \\ (x)/(6.8\cdot \:10^5)=(3.2\cdot \:10^3)/(4.2\cdot \:10^4) \\ x=51809.52380 \\ x=5.18\cdot10^4 \end{gathered}`

Rounding off to the nearest hundredth.