 UPSKILL MATH PLUS

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Congruence 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 $$\triangle DEF$$. 