Question

Construct a triangle $ABC$, in which $AB=5.5cm,AC=6.5cm$ and $\angle BAC={75}^{\circ }$.
Steps for its construction is given in a jumbled form. Identify its correct sequence.
1) At $A$, construct a line segment $AE$, sufficiently large, such that $\angle BAE={75}^{\circ }$, use protractor to measure ${75}^{\circ }$.
2) Draw a line segment which is sufficiently long using ruler.
3) With $A$ as centre and radius $6.5cm$, draw an arc cutting $AE$ at C. Join $BC$. Hence, $ABC$ is the required triangle.
4) Locate points $A$ and $B$ on it such that $AB=5.5cm$.

• A. $2,4,1,3$
• B. $2,1,4,3$
• C. $1,2,4,3$
• D. $4,2,1,3$

Answer 1

Answer: (A)

$2,4,1,3$

The following is the correct order of steps for constructing $\Delta ABC$

i) Draw a line segment which is sufficiently long using ruler.
ii) Locate points $A$ and $B$ on it such that $AB=5.5cm$.

iii) At $A$ construct a line segment $AE$ , sufficiently large, such that $\angle BAE={75}^{\circ }$, use protractor to measure ${75}^{\circ }$.

iv) With $A$ as centre and radius $6.5cm$ draw an arc cutting $AE$ at $C$. Join $BC$. Hence, $ABC$ is the required triangle.

So, the correct sequence of given steps is $2,4,1,3$.