Question

the construction of a triangle ABC given that BC is equal to 3 cm angle C is equal to 60 degree is possible when difference of a b and ac is equal to dash centimetre​

Answer 1

Answer:

\triangle ABC△ABC is the required triangle.

Step-by-step explanation:

Given,

The construction of \triangle ABC△ABC given that BC=3\ cmBC=3 cm and \angle C=60\ degree∠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(AC+BC)>AB

⇒BC>(AB-AC)BC>(AB−AC)

⇒3>(AB-AC)3>(AB−AC)

So, we can take the value (AB-AC)(AB−AC) is 2.8\ cm2.8 cm

Following steps:

Draw a line segments BC=3\ cmBC=3 cm using scale.

Draw an angle 60\ degree60 degree on point CC using protector like \angle BCX=60\ degree∠BCX=60 degree

Cuts a point DD on line CXCX like CD=2.8\ cmCD=2.8 cm ((AB-AC)=2.8\ cm(AB−AC)=2.8 cm )

Join BDBD

Draw the bisector of line BDBD where the bisector line intersects the line CXCX at AA

Join ABAB

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

Answer 2

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