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  1. A string of length 24 cm is bent first into a square and then into a right–angled triangle by keeping one side of the square fixed as its base. Then the area of triangle equals to :
    1. 24 cm²
    2. 60 cm²
    3. 40 cm²
    4. 28 cm²
Correct Option: A

Side of square =
24
cm. = 6 cm.
4

Base of triangle = 6 cm.
∵ 6² + 8² = 10² and 6 + 8 + 10 = 24
∴ Height of triangle = 8 cm.
∴ Area of triangle =
1
× 6 × 8 = 24 sq. cm.
2



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