In a right - angled triangle, the square of the hypotenuse of a triangle is equal to the sum of the square of the other two sides.
Step 1: Make a right - angled triangle with base, perpendicular and hypotenuse has length of their side a, b, c respectively.
Step 2: Make squares on the base, perpendicular and hypotenuse with side length a, b and c respectively.
Step 3: Now measure the area of square with side b and a, which are on perpendicular and base of a triangle respectively.
Step 4: Measure the area of the with side c, which is on the hypotenuse of a triangle, area is: [tex]c^{2}[/tex].
Step 5: Add the area of squares with sides a and b, sum of their area is: [tex]a^{2} + b^{2}[/tex].
Observation and Result:
We will notice that the area of square with side a and b is equal to the area of square with side c.
⇒ [tex]a^{2} + b^{2} = c^{2}[/tex]
∴ The square of the hypotenuse in a right-angled triangle is equal to the sum of the square of the other two sides.
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