# Algebraic expressions, grade 9, question 12

in the given figure: x>0

BCDE is a square of side 2x, BAC is a right triangle at A s.t. AB = x.

- What is the nature of triangle ABC? Justify.
- Deduce the length of AC in terms of x.
- X represents the area of triangle ABC and Y represents that of square BCDE.
- Express X and Y in terms of x.
- Can we find a value of x so that X = Y? Justify your answer.