Pythagoras theorem.
Make a right triangle of sides given as
3cm,4cm and 5cm.Now make three square
sheets of 3x3,4x4 and 5x5 length.Fix these
sheets on each side of the triangle.Now divide
the sheet into one cm squares such that 3 cm
sheet has 9squares of 1cm length, 4cm sheet
has 16 squares and so on. Now considering the
Pythagoras Theorem a^2+b^2=c^2, verify the
Pythagoras theorem
Answers
Answer:
In a right-angled triangle the square of hypotenuse is equal to the sum of squares on the other two sides.
Concept of a right-angled triangle.
Area of square = (side)2
Construction of perpendicular lines.
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Given : a right triangle of sides given as 3cm,4cm and 5cm
To Find : verify the Pythagoras theorem
a² + b² = c²
Solution:
a right triangle of sides given as 3cm,4cm and 5cm
then Square are made 3 x 3
4 x 4
5 x 5
1 x 1 Squares in 3 x 3 = 9
1 x 1 Squares in 4 x 4 = 16
1 x 1 Squares in 5 x 5 = 25
9 + 16 = 25
3² + 4² = 5²
Hence Verified a² + b² = c²
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