Advertisements
Advertisements
प्रश्न
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.

Advertisements
उत्तर
Given, AC = DC ...(i)
And C6 = CE ...(ii)
According to Euclid’s axiom, if equals are added to equals, then wholes are also equal.
So, on adding equation (i) and (ii), we get
AC + CB = DC + CE
⇒ AB = DE
APPEARS IN
संबंधित प्रश्न
If a point C lies between two points A and B such that AC = BC, then prove that AC = `1/2` AB. Explain by drawing the figure.
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)
How many lines can be drawn through a given point.
The number of dimensions, a surface has ______.
Pythagoras was a student of ______.
Which of the following needs a proof?
‘Lines are parallel, if they do not intersect’ is stated in the form of ______.
Solve the following question using appropriate Euclid’s axiom:
It is known that x + y = 10 and that x = z. Show that z + y = 10?
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.

Read the following statement :
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
