10th Class Mathematics Test Unit 8 - Projection of Side of a Triangle

Unit 8 – Projection of a Side of a Triangle

Quiz

 

1. 1. What is the projection of a side of a triangle?
   1.   The perpendicular dropped from the vertex to the opposite side
   2.   The shadow of a side on another side or a line
   3.   The bisector of an angle of the triangle
   4.   None of the above
2. 2. In a triangle, the projection of side aaa on side bbb is given by:
   1.   asin⁡θa \sin \thetaasinθ
   2.   acos⁡θa \cos \thetaacosθ
   3.   bsin⁡θb \sin \thetabsinθ
   4.   bcos⁡θb \cos \thetabcosθ
3. 3. Which trigonometric ratio is used in calculating the projection of a side?
   1.   sin⁡\sinsin
   2.   cos⁡\coscos
   3.   tan⁡\tantan
   4.   csc⁡\csccsc
4. The projection of side aaa on side ccc in a triangle is maximum when the angle between them is:
   1.   90∘90^\circ90∘
   2.   45∘45^\circ45∘
   3.   0∘0^\circ0∘
   4.   60∘60^\circ60∘
5. 5. If the angle between two sides of a triangle is 90∘90^\circ90∘, the projection of one side on the other is:
   1.   Equal to the length of the side
   2.   Zero
   3.   Equal to the hypotenuse
   4.   Undefined
6. The law of cosines is used to relate the sides of a triangle and:
   1.   The projection of one side on another
   2.   The angle between two sides
   3.   The area of the triangle
   4.   None of the above
7. 7. In a triangle, the projection of side ccc on aaa is:
   1.   csin⁡θc \sin \thetacsinθ
   2.   ccos⁡θc \cos \thetaccosθ
   3.   acos⁡θa \cos \thetaacosθ
   4.   asin⁡θa \sin \thetaasinθ
8. 8. The projection of a side is zero when the angle between the sides is:
   1.   0∘0^\circ0∘
   2.   90∘90^\circ90∘
   3.   180∘180^\circ180∘
   4.   45∘45^\circ45∘
9. 9. If side b=5b = 5b=5 and angle between bbb and ccc is 60∘60^\circ60∘, the projection of bbb on ccc is:
   1.   5cos⁡60∘5 \cos 60^\circ5cos60∘
   2.   5sin⁡60∘5 \sin 60^\circ5sin60∘
   3.   5tan⁡60∘5 \tan 60^\circ5tan60∘
   4.   5cot⁡60∘5 \cot 60^\circ5cot60∘
10. 10. The projection of side bbb on the base ccc in a right triangle is given by:
    1.   bsin⁡θb \sin \thetabsinθ
    2.   bcos⁡θb \cos \thetabcosθ
    3.   btan⁡θb \tan \thetabtanθ
    4.   bcsc⁡θb \csc \thetabcscθ