Question

Construct a triangle ABC where BC =4cm ,B=60° and AB+AC=6cm

Answer 1

Answer:

Below is the step-by-step explanation.

Step-by-step explanation:

To determine:

Construct a triangle ABC

Information Fetching and Information Steps:

From the given data,

• $BC\:=\:4\:cm$

• $B=60^{\circ }$

• $AB+AC=6\:cm$

Procedure:

• First draw a line segment $BC\:=\:4\:cm$

• Then construct angle of $m$ ∠ $60^{0}$  at $B$ on $BC$.

• Taking $B$ as center with $6\:cm$ radius, draw an arc which cuts the ray of  $m$ ∠ $60^{0}$ at $X$.

• Then Join $X$ and $C$.

• The draw a perpendicular bisector of $XC$.

• Wherever this perpendicular bisector intersect $BX$, name that point as $A$

• Join $A$ and  $C$.

Thus, ∆ $ABC$ will be a required triangle.

Keywords: triangle, perpendicular bisector, angle

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