Question

find the length of diagonals in each rectangles when their length is 6cm and width is 6 cm
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Answer 1

Answer:

,

Step-by-step explanation:

see this attachment... .

Answer 2

$\large\bold{\underline{To \: Find}} \: -$

Length of diagonals in a rectangle whose length and width are 6cm each.

$\huge\bold{\underline{Given}} -$

• Length = a = 6cm
• Breadth = b = 6cm

$\huge\bold{\underline{\underline{Solution}}} \: -$

■ Let us consider sides AB (length) and BC (breadth) and AC as diagonal to be found.

(*refer to the attachment)

■ As given above length and breadth are equal to 6cm. Also,

${\boxed{\orange{In \: a \: rectangle \: all \: angles = 90°}}}$

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Now, in ∆ABC, using Pythagoras theorem,

→ (AB)² + (BC²) = (AC)²

→ (6)² + (6)² = (AC)²

→ 36 + 36 = AC²

→ AC = √36+36

→ AC = √72

→ AC = 2√18

${\green{\boxed{\boxed{\sf{AC = \sqrt[2]{18} \: = 8.5cm (approx.)}}}}}$

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∴ Diagonal of this rectangle = 8.5cm

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