Solutions of Right Triangles Class-9 Concise Selina ICSE Mathematics Solutions Chapter-24 . We provide step by step Solutions of Exercise / lesson-24 Solutions of Right Triangles for ICSE Class-9 Concise Selina Mathematics by R K Bansal.
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Solutions of Right Triangles Class-9 Concise Selina ICSE Mathematics Solutions Chapter-24
Exercise 24
Question 1
Fin ‘x’ if:
(i)
(ii)
(iii)
Answer
Question 2
Find angle ‘A’ if:
(i)
(ii)
(iii)
Answer
Question 3
Find angle ‘x’ if:
Answer
Question 4
Find AD, if:
(i)
(ii)
Answer
Question 5
Find the length of AD.
Given: ABC = 60o.
DBC = 45o
And BC = 40 cm
Answer
Question 6
Find the lengths of diagonals AC and BD. Given AB = 60 cm and BAD = 60o.
Answer
Question 7
Find AB.
Answer
Thus AB = AC + CD + BD = 54.64 cm.
Question 8
In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and A = 60o. Find:
(i) length of AB
(ii) distance between AB and DC.
Answer
First draw two perpendiculars to AB from the point D and C respectively. Since AB|| CD therefore PMCD will be a rectangle.
Consider the figure,
Question 9
Use the information given to find the length of AB.
Answer
Question 10
Find the length of AB.
Answer
Question 11
In the given figure, AB and EC are parallel to each other. Sides AD and BC are 2 cm each and are perpendicular to AB
Given that AED = 60o and ACD = 45o. Calculate:
(i) AB(ii) AC(iii) AE
Answer
Question 12
In the given figure, ∠B = 60° , AB = 16 cm and BC = 23 cm,
Calculate:
(i) BE (ii) AC
Answer
Question 13
Find
(i) BC
(ii) AD
(iii) AC
Answer
Question 14
In right-angled triangle ABC; B = 90o. Find the magnitude of angle A, if:
(i) AB is √3 times of BC.
(ii) BC is √3 times of AB.
Answer
Question 15
A ladder is placed against a vertical tower. If the ladder makes an angle of 30o with the ground and reaches upto a height of 15 m of the tower; find length of the ladder.
Answer
Given that the ladder makes an angle of 30o with the ground and reaches upto a height of 15 m of the tower which is shown in the figure below:
Question 16
A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angles of 60o with the level ground.
Answer
Question 17
Find AB and BC, if:
(i)
(ii)
(iii)
Answer
Question 18
Find PQ, if AB = 150 m, P = 30o and Q = 45o.
(i)
(ii)
Answer
Question 19
If tan xo =, 5 /12
tan yo = 3/4 and AB = 48 m; find the length of CD
Answer
Question 20
The perimeter of a rhombus is 96 cm and obtuse angle of it is 120o. Find the lengths of its diagonals.
Answer
We also know that in rhombus diagonals bisect each other perpendicularly and diagonal bisect the angle at vertex.
Hence POR is a right angle triangle and
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