1. The length of the hypotenuse of an isosceles right triangle whose one side is 4√2 cm is


2. If a ladder is placed in such a way that its foot is at a distance of 12 m from the wall and its top reaches a window 9 m above the ground, then the length of the ladder is


3. The perimeter of an isosceles right triangle, the length of whose hypotenuse is 10 cm is


4. The areas of two similar triangles are 100 cm2 and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the smaller triangle is equal to


5. Corresponding sides of two similar triangles are in the ratio 9 : 5. Areas of these triangles are in the ratio


6. ABCD is a trapezium in which AB ∥ DC and AB = 2DC. Diagonals AC and BD intersect at 0. If ar(&#9651A0B) = 84 cm2, then ar(&#9651COD) is equal to


7. The areas of two similar traingles are 121 cm2 and 64 cm2 respectively. If the median of the first triangle is 13.2 cm, then the corresponding median of the other triangle is equal to


8. In △ABC if AB = 4 cm, BC = 8 cm and AC = 4√3 cm, then the measure of ∠A is


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