III. CASE STUDY QUESTIONS. 10X1=10MARKS 1. Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the figure below. To find the distance between the points, he makes a right-angled triangle using rope connecting B with another point C at a distance of 12m, connecting C to point D at a distance of 40 m from point C connecting D to the point at A which is at a distance of 30m from D such that ADC = 90o . i) Which property of geometry will be used to find the distance AC? a) Similarly of triangles b) Thales Theorem c) Pythagoras Theorem d) Congruency of triangles ii) What is the distance AC? a) 50m b) 12 m c) 100 m d) 70 m iii) Which is the following does not form a Pythagoras triplet? a) (7, 24, 25) b) (15, 8, 17) c) (5, 12, 13) d) (21, 20, 28) iv) The length of AB is a) 12 m b) 38 m c) 50 m d) 100 m v) The length of the rope used the a) 120 m b) 70 m c) 82 m d) 22 m
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