Question
Construct a triangle using the given data: $XY - XZ = 1.5 \ cm, YZ = 3.4 \ cm$ and $\angle X = 45^\circ $
✓
Answer
$XY - XZ = 1.5 \ cm, YZ = 3.4 \ cm$ and $\angle X = 45^\circ $
Steps of Construction:
$1.$ Draw a line segment $YZ = 3.4 \ cm.$
$2$. With Y as centre, draw $\angle TYZ = 45^\circ .$
$3$. From $YT$, cut $YS = 1.5 \ cm.$
$4$. Join $S$ and $Z.$
$5$. Draw perpendicular bisector of $SZ$ which cuts $YT$ at $X$.
$6.$ Join $XZ.$
Thus, $\text{XYZ}$ is the required triangle.
Steps of Construction:
$1.$ Draw a line segment $YZ = 3.4 \ cm.$
$2$. With Y as centre, draw $\angle TYZ = 45^\circ .$
$3$. From $YT$, cut $YS = 1.5 \ cm.$
$4$. Join $S$ and $Z.$
$5$. Draw perpendicular bisector of $SZ$ which cuts $YT$ at $X$.
$6.$ Join $XZ.$
Thus, $\text{XYZ}$ is the required triangle.
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