Question

What is the distance of BC?

ΔABC ∼ ΔEDC

1. Proportion: 12/8= x6

2. Cross-multiply: 72 = 8x

3. Solve:

BC = miles

Answer 1

BC=9 miles

Explanation:

ABC~EDC

12/8=x/6

6(12)=8x

72=8x

x=9

Answer 2

BC = 9 miles

Explanation:

Here, we are given ΔABC ∼ ΔEDC, which means both triangles are similar and they tend to have the same dimensions and properties.

To find the length of BC, we are given the proportion:

`(12)/(8) = (x)/(6)`

Where x represents the length BC.

Solving further, let's cross multiply

`12 * 6 = 8x`

`72 = 8x`

Solving for x, we have:

`8x = 72`

Lets divide both sides by 8

`(8x)/(8) = (72)/(8)`

`x = 9`

Therefore the distance BC is 9 miles