Question

(16) In a square of side 10 cm, its
diagonal = ...
1 point
O (a) 15 cm
O (b) 1072 cm
O (c) 20 cm
0 (d) 12 cm​

Answer 1

Question :-

• In a square of side 10 cm, its
• diagonal = ————.
• (a) 15 cm
• (b) 1072 cm
• (c) 20 cm
• (d) 12 cm

Answer :-

• ${\underline {\boxed{\boxed{\bf{\red{10√2 \: cm}}}}}}$

Solution :-

Using Pythagoras theorem

➪ AB² + AD² = BD²

➪ (10)² + (10)² = BD²

➪ 100 + 100 = BD²

➪ 200 = BD²

➪ BD² = 200

➪ BD = 10√2 cm.

∴ Diagonal of square = 10√2 cm.

Additional information :-

• A line segment joining one corner to another but is not an edge is called a diagonal.