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
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
line segment
If a point C lies between two points A and B such that AC = BC, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.
How many lines can be drawn through a given point.
In how many points two distinct planes can intersect?
How many planes can be made to pass through three distinct points?
A pyramid is a solid figure, the base of which is ______.
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for ______.
Thales belongs to the country ______.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

Read the following two statements which are taken as axioms:
- If two lines intersect each other, then the vertically opposite angles are not equal.
- If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°.
Is this system of axioms consistent? Justify your answer.
