Question

Construct a right triangle whose hypotenuse is $6cm$ long and one of the legs is $4cm$ long.
[5 marks]

Answer 1

To construct: A right-angled triangle $DEF$ where $DF=$ $6cm$ and $EF=$ $4cm.$

Steps of construction:
(a) Draw a line segment $EF=4cm$.
(b) From point $E$, draw $EX$ $\perp$ to line segment $EF$.
(c) Taking $F$ as centre and radius $6cm$, draw an arc. Let the point of intersection of arc and line segment $EX$ is $D$. So, $DF$ will be the hypotenuse.
(d) Join $DF$.
[2 marks]
[2 marks]
Above figure is the required right-angled $\Delta DEF$.
[1 mark]