A triangle ABC in which BC = 3.4 cm, AB - AC = 1.5 cm and D B = 45 ∘ can be constructed using compass and ruler. Options: A . &nbsp True B . &nbsp False C . &nbsp Data insufficient D . &nbsp Cannot be determined

Answer: Option A : A A triangle in which the difference of two sides is less than the third side can be made. The steps are as follows: Step 1 : Draw a line segment BC of length 3.4cm. Step 2 : Draw an angle of 45 ∘ from point B. Step 3 : From Ray BX cut off the line segment BD = 1.5cm. Step 4 : Join D to C. Step 5 : Draw bisector of DC. Step 6 : Extend bisector of DC to intersect the Ray BX at point A. Step 7 : Join A to C, Δ ABC is the required triangle.

A triangle ABC in which BC = 3.4 cm, AB - AC = 1.5 cm and DB = 45∘ can be con

Question

A triangle ABC in which BC = 3.4 cm, AB - AC = 1.5 cm and DB = 45 $^{\circ}$ can be constructed using compass and ruler.

Options:

A . True

B . False

C . Data insufficient

D . Cannot be determined

Answer: Option A
:
A

A triangle in which the difference of two sides is less than the third side can be made. The steps are as follows:
Step 1 : Draw a line segment BC of length 3.4cm.
Step 2 : Draw an angle of 45 $\circ$ from point B.
Step 3 : From Ray BX cut off the line segment BD = 1.5cm.
Step 4 : Join D to C.
Step 5 : Draw bisector of DC.
Step 6 : Extend bisector of DC to intersect the Ray BX at point A.
Step 7 : Join A to C, $Δ$ ABC is the required triangle.