Question

$\huge\sf\fbox\purple{ Question }$

_ The diagonal of a rectangle is thrice its smaller side. Find the ratio of its sides _

[Hint - : Use Pythagoras' theorem]

(a) √2:1
(b) 2√2:1
(c) 3:2
(d) √√3:1

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Answer 1

Answer:

• 1 : 2√2

Explanation:

Let's say that,

Smaller and longer side of the rectangle are x and y

According to the question,

→ Diagonal = 3 times x

Or,

∴ Hypo. = 3x

Using Pythagoras theorem :

→ (3x)² = x² + y²

→ 9x² = x² + y²

→ 9x² - x² = y²

→ 8x² = y²

→ √8x² = y

→ 2√2x = y

Now,

Forning in ratio,

→ x : y

→ x : 2√2x

→ 1 : 2√2

∴ Required answer:- 1 : 2√2

_____________________

NOTE:

Pythagors theorem,

→ (h)² = (p)² + (b)²

Answer 2

Answer:

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see the above attachment for the answer...

Explanation:

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