Question

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Answer 1

Given :

• The diagonal of a rectangle is thrice it's smaller side.

Find :

• What is the ratio of its sides.

Using Pythagoras theorem :

★ H² = P² + B².

Calculations :

→ AC² = AB² + BC²

→ 9x² = AB² + x²

→ 8x² = AB²

→ √8x² = AB

→ 2√2

Here,

• Longer side = 2√2
• Small side = x
• 2√2 : x = 2√2 : 1

Therefore, 2√2:1 is the ratio of its sides.