Question

On a sheet of card paper, draw a right-angled triangle of sides 3 cm, 4 cm and 5 cm. Construct a square on each of the sides. Find the area of each of the squares and verify Pythagoras’ theorem.

Answer 1

Area of square ABLM = l(AB)² = 32 = 9 sq.cm 

Area of square BCPN = l(BC)² = 42 = 16 sq.cm 

Area of square ACQR = l(AC)² = 52 = 25 sq.cm 

Now, 25 = 16 + 9 

i.e. 5² = 4² + 3² 

∴ l(AC)² = l(BC)² + l(AB)² 

∴ (hypotenuse)² = (base)² + (height)²