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ǫᴜᴇsᴛɪᴏɴ :-
- The length of the longest segment which can be drawn in a rectangle of length 84 cm and breadth 13 cm is ______.
Gɪᴠᴇɴ :-
- Length (l) = 84 cm
- Breadth (b) = 13 cm
ᴛᴏ ғɪɴᴅ :-
- Longest segment (diagonal)
sᴏʟᴜᴛɪᴏɴ :-
Now,
On using Pythagoras Theorems, we get,
➭ Diagonal² = Length² + Breadth ²
➭ (d)² = (l) ² + (b) ²
➭ d² = (84)² + (13)²
➭ d² = 7056 + 169
➭ d² = 7225
➭ d = √7225
➭ d = 85
Hence,
- Longest segment (diagonal) is 85 cm
Hence,
- Option (B) 85cm is correct option
Answered by
29
✬✬
➢ Length = 84 cm
➢ Breadth = 13 cm
➢ Longest segment = Diagonal
★ (Diagonal)² = (Length) ² + (Breadth)²
↦(Diagonal)² = 84²+13²
↦(Diagonal)² = 7056 + 169
↦(Diagonal)² = 7225
↦Diagonal = √7225
↦Diagonal = 85
∴ Diagonal = 85 cm
✬ Answer = (b) 85 cm
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