Question

Construct a right angle triangle $ABC$ in which $\angle B={90}^{\circ },BC=4cm$ and $AC=5cm$

Answer 1

Steps of construction:
(1) Draw a line segment $XY$.

(2) Locate $B$, $C$ on $XY$ such that $BC=4cm$

(3)Construct a line segment $BD$, sufficiently large, such that $\angle B=90°$

(4)With $C$ as centre and radius $5cm$ draw an arc, cutting $BD$ at $A$; join $AC$.

Then, $ABC$ is the required triangle.