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ICSE Class X Mid-term 2024 : Mathematics

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Pythagoras theorem EXERCISE 10 1) In ABC, C =900 If BC = a, AC = b, and AB = c, find : (i) c when a = 8cm and b = 6cm (ii) a when c = 25cm and b = 7cm (iii) b when c=13cm and a = 5cm ans : 2) Length of the sides of the triangle are given . determine which of them is a right angled triangle. I of right angled triangle determine the hypotenuse. (i) 5cm, 4cm and 3cm (ii) 10cm, 15cm, 13cm (iii) 80cm 3) A rectangular field is 40m long and 30m broad . find the length of its diagonal. 5) A ladder 17m long reaches he window of a building 15m above the ground. Find the distance of the foot of the ladder from the building. 7) A ladder 15m long reaches a window which is 9m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12m high. Find the width of the street. 8) In the given figure, ABCD is a quadrilateral in which BC=3cm, AD=13cm, DC=12cm and = = 90 . Calculate the length of AB.

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