Question

construct a triangle ABC in which BC = 5.6 CM,AB-AC=1.6CM ,angleB=45°

Answer 1

SOLUTION :-
YES WE CAN CONSTRUCT.

Answer 2

AnswEr:

To draw the triangle ABC, we follow the following steps :

$\large\sf{\underline{\underline{Steps\:\:of\:\:construction:-}}}$

• Draw BC = 5.6 cm
• At B, construct $\angle$ CBX = 45°
• Produce XB to X' to form line to X BX'
• From rat BX', cut - off line segment BD = 1.6 cm
• Join CD
• Draw perpendicular bisector of CD which cuts BX at A.
• Join CA to obtain required triangle BAC.

$\sf\underline\pink{Justification:-}$

Since A lies on the perpendicular bisectors of CD. The

•°• AC = AD = AB + DB = AB + 1.6

$\Rightarrow$ AC - AB = 1.6cm

Hence, ∆ABC is the required triangle.