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

**Given:**A 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.

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