ICSE Board Practice

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ICSE Grade VI - Triangles

Question 1

1.	Which of the following are measures of a right angled triangle ?
	∠D = 60° , ∠E = 60° , ∠F = 60° ∠D = 49.32° , ∠E = 55.83° , ∠F = 74.85° ∠D = 38.16° , ∠E = 90° , ∠F = 51.84° ∠D = 85.46° , ∠E = 41.65° , ∠F = 52.89° ∠D = 102.05° , ∠E = 40.69° , ∠F = 37.26°

Question 2

2.	Consider the following figure. State which of the following statements are true
	a)   CD     ≠   DE     b)   DE     ≠   EC     c)   DE     =   EC     d)   EC     ≠   CD     e)   EC     =   CD     f)   CD     =   DE
	{c,a} {a,b,e} {d,a,b} {d,b} {f,c,e}

Question 3

3.	The name of the triangle is
	△KLN △LMN △JKM △KLM △JKL

Question 4

4.	In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
	B = 25° , C = 55° , D = 100° B = 25° , C = 53° , D = 102° B = 23° , C = 57° , D = 100° B = 27° , C = 55° , D = 98° B = 23° , C = 55° , D = 102°

Question 5

5.	In the given figure , if LI ⟂ JK and ∠IJL = 55.35°, find ∠LIJ
	36.65° 32.65° 33.65° 35.65° 34.65°

Question 6

6.	In the following figure, one side of a triangle has been produced. Find the values of x and y.
	x = 60° , y = 75° x = 59° , y = 74° x = 61° , y = 76° x = 62° , y = 77° x = 58° , y = 73°

Question 7

7.	In  △FGH, if ∠F = 60° and ∠G = ∠H, find the measure of each of the equal angles of the triangle
	61° 58° 62° 59° 60°

Question 8

8.	Two angles of a triangle measure 67° and 62° respectively. Find the measure of the third angle of the triangle
	50° 52° 53° 51° 49°

Question 9

9.	In a right angled triangle, if one of the angles is 38.16°, find the third angle
	56.84° 81.84° 66.84° 51.84° 61.84°

Question 10

10.	In the given figure, △GHI in which side HI has been produced to J. If ∠IGH = x° , ∠GHI = (4/15a)° , ∠HIG = (7/15a)° and ∠GIJ = (11/15a)°, find the values of a and x.
	a = 152° , x = 72° a = 149° , x = 69° a = 150° , x = 70° a = 151° , x = 71° a = 148° , x = 68°

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