Make eight identical copies of right angled
triangle of any size you prefer. For example, you
make a right-angled triangle whose hypotenuse is a
units long and the legs are of lengths b units and
c units (Fig 6.24).
Draw two identical squares on a sheet with sides
of lengths b + c.
You are to place four triangles in one square and the remaining four triangles in the
other square, as shown in the following diagram (Fig 6.25). SEE figure on page 127 of your textbook The squares are identical; the eight triangles inserted are also identical.
Hence the uncovered area of square A = Uncovered area of square B.
i.e., Area of inner square of square A= The total area of two uncovered squares in square B.
Hence a2=b2+c2. Take a=10cm,b=6cm and c=8cm
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Step-by-step explanation:
To calculate the length of a side on a right-angled triangle when you know the sizes of the other two, you need to use Pythagoras' Theorem. Pythagoras' Theorem says that, in a right angled triangle: The square of the hypotenuse is equal to the sum of the squares on the other two sides.
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