Question

The construction of triangle ABC given that BC is equal to 3 cm and angle C is equal 60 degree is possible when difference of Ab and ac is equal to

Answer 1

$\triangle ABC$ is the required triangle.

Step-by-step explanation:

Given,

The construction of $\triangle ABC$ given that $BC=3\ cm$ and $\angle C=60\ degree$

We know that,

The construction of a triangle is not possible if sum of two sides is greater than third side of triangle.

$(AC+BC)>AB$

⇒$BC>(AB-AC)$

⇒$3>(AB-AC)$

So, we can take the value $(AB-AC)$ is $2.8\ cm$

Following steps:

• Draw a line segments $BC=3\ cm$ using scale.
• Draw an angle $60\ degree$ on point $C$ using protector like $\angle BCX=60\ degree$
• Cuts a point $D$ on line $CX$ like $CD=2.8\ cm$ ($(AB-AC)=2.8\ cm$)
• Join $BD$
• Draw the bisector of line $BD$ where the bisector line intersects the line  $CX$ at $A$

• Join $AB$

Now, $\triangle ABC$ is the required triangle.