Ben drew 30 crosses along the sides of a equilateral triangle. He arranged the crosses at equal distance apart. The length of each side was 55 cm. What was the distance between two crosses?



Answer :

Answer:

Distance between two crosses:
[tex]1.8966 $ cm[/tex]

Step-by-step explanation:

Each side of the equilateral triangle is 55 cm

Since there are 30 crosses along a side equally distant, the number of gaps between all 30 crosses is 29 (30 -1)

To understand why this is so, imagine there are only 3 crosses separated by equal distances, This means one cross in the vertex, another cross on the opposite vertex and one cross in the middle giving a total of 2 gaps

Therefore the distance between two crosses

[tex]= \dfrac{\text{Side Length}}{\text{Number of gaps}}\\\\\\= \dfrac{55 \;cm}{29}\\\\= 1.8966 $ cm[/tex]