Question

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

Answer 1

Let us consider $∆\mathrm{ABC}$ is a right angled triangle at $\angle \mathrm{B}=90°$

$\mathrm{AC}$ is hypotenuse $=6\mathrm{cm}$ … [given]

$\mathrm{BC}=4\mathrm{cm}$

The steps for construction are given below:

Draw a line segment $\mathrm{BC}=4\mathrm{cm}$.

From point $\mathrm{B}$, draw a ray making an angle of $90°$.

Considering $\mathrm{C}$ as a center and radius$=6\mathrm{cm}$, draw an arc that cuts the ray at $\mathrm{A}$.

Join $\mathrm{AC}$.

Thus, $∆\mathrm{ABC}$ obtained is the required right angled triangle.