Question 13 Marks
Construct an obtuse angled triangle which has a base of $5.5\ cm$ and base angles of $30^\circ $ and $120^\circ .$
Answer
Steps of construction:
Step I: Draw a line segment $SC$ of length $5.5\ cm.$
Step II: Draw an angle of $120^\circ $ on point $S$ and produce it to ray $Y.$
Step III: Draw an angle of $30^\circ $ on point $C$ and produce it to ray $X.$
Step IV: Extend $BY$ and $CX$ to intersect at point $A.$
Hence,
$\triangle\text{ABC}$ is the required triangle with $BC = 5.5,$
$\angle\text{ABC}=120^\circ$ and $\angle\text{ACB}=30^\circ$
View full question & answer→Steps of construction:
Step I: Draw a line segment $SC$ of length $5.5\ cm.$
Step II: Draw an angle of $120^\circ $ on point $S$ and produce it to ray $Y.$
Step III: Draw an angle of $30^\circ $ on point $C$ and produce it to ray $X.$
Step IV: Extend $BY$ and $CX$ to intersect at point $A.$
Hence,
$\triangle\text{ABC}$ is the required triangle with $BC = 5.5,$
$\angle\text{ABC}=120^\circ$ and $\angle\text{ACB}=30^\circ$
