Advertisements
Advertisements
Question
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.

Advertisements
Solution
Given in the question, AB, BC and CD are parts of line.
Then, AB + BC + CD = AD ...(i)
And AD is the part of line AH.
Now, By Euclid’s axiom 5, the whole is greater than the part.
So, AH > AD
That is length AH > sum of length of AB + BC + CD ...[By using (i)]
APPEARS IN
RELATED QUESTIONS
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.
How many least number of distinct points determine a unique plane?
How many planes can be made to pass through a line and a point not on the line?
How many planes can be made to pass through two points?
The total number of propositions in the Elements are ______.
Greek’s emphasised on ______.
Pythagoras was a student of ______.
If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have BX = `1/2` AB, BY = `1/2` BC and AB = BC. Show that BX = BY.

