Construct a right-angled triangle whose hypotenuse is $6\ cm$ long and one of the legs is $4\ cm$ long.


Given: right-angled triangle whose hypotenuse is $6\ cm$ long and one of the legs is $4\ cm$ long.

To do: To construct a right-angled triangle whose hypotenuse is $6\ cm$ long and one of the legs is $4\ cm$ long.

Steps of construction:

  • Let us draw a line segment $EF$ of length $4\ cm$.
  • At $E$, draw $EX$ such that $EX\perp EF$.
  • Assuming $F$ as the center, let us draw an arc of radius $6\ cm$ that will intersect $EX$ at point $D$.
  • Now, join $D$ and $F$.

$\triangle DEF$ is the required triangle.

Updated on: 10-Oct-2022

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