Q. 315.0( 1 Vote )

P is the mid-point of side BC of a parallelogram ABCD such that BAP =DAP. If AD=10 cm, then CD=
A. 5 cm

B. 6 cm

C. 8 cm

D. 10 cm

Answer :

Given that,

ABCD is a parallelogram


P is the mid-point of BC


DAP =PAB =x


AD=10 cm


To find: The length of CD


ABP = 180 - 2x (Co interior angle of parallelogram)


APB = 180o - (180o - 2x + x) = x


Therefore,


In triangle ABP,


APB =PAB = x


Therefore,


AB = PB (In a triangle sides opposite to equal angles are equal in length)


CD = AB = PB = = = = 5 cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and Volume of Right Circular ConeSurface Area and Volume of Right Circular ConeSurface Area and Volume of Right Circular Cone37 mins
R D Sharma | Surface Area and VolumesR D Sharma | Surface Area and VolumesR D Sharma | Surface Area and Volumes39 mins
Smart Revision | Surface Areas and Volume of SolidsSmart Revision | Surface Areas and Volume of SolidsSmart Revision | Surface Areas and Volume of Solids31 mins
Surface Area and Volume of Right Circular CylindersSurface Area and Volume of Right Circular CylindersSurface Area and Volume of Right Circular Cylinders42 mins
Surface Area and Volume of SpheresSurface Area and Volume of SpheresSurface Area and Volume of Spheres40 mins
RD Sharma | Surface areas and volumes of Cube & CuboidRD Sharma | Surface areas and volumes of Cube & CuboidRD Sharma | Surface areas and volumes of Cube & Cuboid33 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes43 mins
What an Atom holds?What an Atom holds?What an Atom holds?41 mins
Types of Present TenseTypes of Present TenseTypes of Present Tense55 mins
NCERT | Laws of MotionNCERT | Laws of MotionNCERT | Laws of Motion31 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses