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  1. If the length of each of two equal sides of an isosceles triangle is 10 cm. and the adjacent angle is 45°, then the area of the triangleis
    1. 20√2 square cm.
    2. 12√2 square cm.
    3. 25√2 square cm.
    4. 15√2 square cm.
Correct Option: C


AD = AB sin 45° = 10 ×
1
= 5√2 cm.
2

∴ Area of ∆ABC
=
1
× BC × AD
2

=
1
× 10 × 5√2
2

= 25√2 square cm.



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