UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn moreCongruence criterion with all \(3\) sides known

SSS congruence criterion holds good if all \(3\) corresponding sides of the triangles are the same.

Now let us try to construct a congruent triangle using SSS congruent criterion.

Consider \(\triangle ABC\) with the dimensions as given in the figure below.

From the figure, it is understood that \(AB = 5 cm\), \(BC = 7 cm\), and \(AC = 4 cm\).

Our aim is to construct a congruent triangle \(\triangle DEF\) using the \(3\) lengths acquired from the figure.

**Step**\(1\): Draw a line segment \(\overline{DE}\) of length \(5\) \(cm\).

**Step**\(2\): With \(D\) as centre and with \(4\) \(cm\) as radius, draw an arc.

**Step**\(3\): With \(E\) as centre and with \(7\) \(cm\) as radius, cut the already drawn arc and mark the intersection as \(F\).

**Step**\(4\): Now draw the line segments \(\overline{DF}\) and \(\overline{EF}\) to form the congruent triangle \(\triangle DEF\).