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  1. The area of a right-angled isosceles triangle having hypotenuse 16√2 cm is
    1. 144 cm²
    2. 128 cm²
    3. 112 cm²
    4. 110 cm²
Correct Option: B

Using Rule 1,

Let AB = BC = x;
AC = 16√2
∴ x² + x² = (16√2
⇒ 2x² = 16 × 16 × 2
⇒ x² = 16 × 16
⇒ x = 16

∴ Area of triangle =
1
× base × height
2

=
1
× 16 × 16 = 128cm²
2



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