## 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 are a distance of 12m, connecting C to point D at a distance of 40m from point C and the connecting D to the point A which is are a distance of 30m from D such the ADC = 900 .

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Question 1
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Which property of geometry will be used to find the distance AC?

(a) Similarity of triangles

(b) Thales Theorem

(c) Pythagoras Theorem

(d) Area of similar triangles

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Question 2
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What is the distance AC?

(a) 50 m

(b) 12 m

(c) 100 m

(d) 70 m

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Question 3
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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)

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Question 4
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Find the length AB?

(a) 12 m

(b) 38 m

(c) 50 m

(d) 100 m

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Question 5
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Find the length of the rope used.

(a) 120 m

(b) 70 m

(c) 82 m

(d) 22 m