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Answers
Answer:
hii
Step-by-step explanation:
10√2 cm is the answer
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Step-by-step explanation:
Given :-
Side of a square = 10 cm
To find :-
Find the length of the diagonal of a square ?
Solution :-
Method -1:-
Given that
The side of a square = 10 cm
Let a = 10 cm
We know that
The diagonal of a square is √2 a units
The diagonal of the given square
=> √2×10 cm
=> 10√2 cm
Method -2:-
We know that
The Diagonal divides the square into two equal right angled triangles.
So
We know that
In right angled triangle
By Pythagoras theorem
Hypotenuse ² = Side²+Side²
Where Side = 10 cm
Hypotenuse = Diagonal
=> Diagonal² = 10²+10²
=> Diagonal² = 100+100
=> Diagonal² = 200
=> Diagonal = √200
=> Diagonal = √(2×100)
=> Diagonal = 10√2 cm
Answer:-
The length of the diagonal of the given square is 10√2 cm
Used formulae:-
- The diagonal of a square is √2 a units
Pythagoras Theorem:-
In a right angled triangle, The square of the hypotenuse is equal to the sum of the squares of the other two sides .
- The diagonal divides the square into two congruent right angled triangles.