Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
In how many lines two distinct planes can intersect?
How many least number of distinct points determine a unique plane?
The number of dimension, a point has ______.
The total number of propositions in the Elements are ______.
Boundaries of surfaces are ______.
Which of the following needs a proof?
The boundaries of the solids are curves.
The edges of a surface are curves.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have X and Y are the mid-points of AC and BC and AX = CY. Show that AC = BC.
Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
