Given a square ABCD with a side of 10 cm. Point E belongs to side CD, with CE / ED = 0.5.

Given a square ABCD with a side of 10 cm. Point E belongs to side CD, with CE / ED = 0.5. Find the distance from point C to line AE.

In a square, all sides are equal, so:

AB = CD = AD = BC = 10 cm;

Since CE / ED = 0.5, then the ED side is twice the CE side:

CE / ED = 1/2;

ED = 2CE;

2CE + CE = 10 cm;

3CE = 10 cm;

CE = 10/3;

CE = 3.3 cm;

DE = 10 – 3.3 = 6.7 cm.

Answer: CE = 3.3 cm; DE = 6.7 cm.