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Construct a right angle triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

Last updated date: 29th Mar 2023
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Hint: Use Pythagoras theorem to determine the third side of the triangle. Now, draw the 4 cm leg and then from its one end draw a perpendicular line and extend it. From the other end of the 4 cm leg cut a length of 6 cm on the extended line.

Therefore, using Pythagoras theorem: ($hypotenus{{e}^{2}}=bas{{e}^{2}}+perpendicula{{r}^{2}}$), we get, third side of the right angle triangle $=\sqrt{{{6}^{2}}-{{4}^{2}}}=\sqrt{20}$ cm.
Note: One may get confused as to why we have drawn 4 cm side initially and not the other side. This is because we cannot draw $\sqrt{20}$ cm with our ruler. Also, keep the pencil sharp and use a soft hand to draw. Measurement should be accurate.