ICSE Board Practice

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ICSE Grade IX - Pythagoras Theorem

Question 1

1.	In an isosceles right angled triangle △PQR, if RP = 26.87 cm is the hypotenuse, then side PQ =
	22.00 cm 14.00 cm 19.00 cm 16.00 cm 24.00 cm

Question 2

2.	In a right angled triangle △PQR, if the area is 133 sq.cm and corresponding height of side QR = 19 cm, then perimeter of the triangle =
	56.60 cm 51.60 cm 59.60 cm 53.60 cm 61.60 cm

Question 3

3.	In a right angled triangle, if one of the angles is 51.34°, find the third angle
	38.66° 48.66° 68.66° 43.66° 53.66°

Question 4

4.	In an isosceles right angled triangle △PQR, if RP = 18.38 cm is the hypotenuse, then corresponding height of side PQ =
	10.00 cm 18.00 cm 13.00 cm 8.00 cm 16.00 cm

Question 5

5.	In a right angled triangle △PQR, if the area is 65 sq.cm and base QR = 10 cm, then corresponding height of side QR =
	18.00 cm 8.00 cm 16.00 cm 13.00 cm 10.00 cm

Question 6

6.	In the given figure, △CDE is isosceles with CD = CE and DF ⟂ CE. Then
	DF 2 − CF 2 = 2 EF . CF DF 2 − EF 2 = 2 EF . CF DF 2 + EF 2 = 2 EF . CF DF 2 + CF 2 = 2 EF . CF

Question 7

7.	In an isosceles right angled triangle △PQR, if perimeter = 51.21 cm, then side RP =
	21.21 cm 26.21 cm 16.21 cm 24.21 cm 18.21 cm

Question 8

8.	In an isosceles right angled triangle △PQR, if QR = 19 cm is one of the equal sides, then side RP =
	21.87 cm 29.87 cm 31.87 cm 26.87 cm 23.87 cm

Question 9

9.	In a right angled triangle △PQR, if the base QR = 20 cm and the corresponding height is 13 cm, then side RP =
	23.85 cm 20.85 cm 18.85 cm 26.85 cm 28.85 cm

Question 10

10.	In a right angled triangle △PQR, if the area is 180 sq.cm and corresponding height of side QR = 20 cm, then corresponding height of side RP =
	13.38 cm 10.38 cm 8.38 cm 18.38 cm 16.38 cm

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