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
How many least number of distinct points determine a unique line?
How many planes can be made to pass through a line and a point not on the line?
The statements that are proved are called axioms.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.

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.

Solve the following question using appropriate Euclid’s axiom:
In the following figure, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.

In the following figure AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.

In the following figure BM = BN, M is the mid-point of AB and N is the mid-point of BC. Show that AB = BC.

The following statement is true or false? Give reason for your answer.
In the following figure, if AB = PQ and PQ = XY, then AB = XY.

