Q3 of 10 Page 68

In the figure given below, show that length AH > AB + BC + CD.

Given figure is drawn above.


By Euclid’s Axiom 5,


We know that ‘The whole is greater than the part’.


In the figure, AH is whole.


AB, BC, CD are parts.


⇒ AB + BC + CD is also a part.


∴ AH > AB + BC + CD


More from this chapter

All 10 →
1

Answer the following:

i. How many dimensions a solid has?


ii. How many books are there in Euclid’s Elements?


iii. Write the number of faces of a cube and cuboid.


iv. What is sum of interior angles of a triangle?


v. Write three un-defined terms of geometry.

 2

State whether the following statements are true or false? Also give reasons for your answers.

a) Only one line can pass through a given point.


b) All right angles are equal.


c) Circles with same radii are equal.


d) A finite line can be extended on its both sides endlessly to get a straight line.



e) From the figure, AB > AC

 4

If a point Q lies between two points P and R such that PQ = QR, prove that PQ = 1/2 PR.

 5

Draw an equilateral triangle whose sides are 5.2 cm each.