Question
Construct a right$-$angled triangle $ABC$ whose base $BC$ is $6\ cm$ and the sum of the hypotenuse $AC$ and other side $AB$ is $10\ cm$.
✓
Answer
Steps of construction:
$1.$ Construct a line segment $BC$ of $6\ cm$.
$2.$ At the point $B$, draw $\angle\text{XBC}=90^\circ.$
$3.$ Keeping $B$ as center and radius $10\ cm$ draw an arc which intersects $XB$ at $D$.
$4.$ Join $DC$.
$5.$ Draw the perpendicular bisector of $DC$ which intersects $DB$ at $A$.
$6.$ Join $AC$.
Hence
$\triangle\text{ABC}$ is the required triangle.
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