In , and . In , and . If and the two triangles are congruent by the SAS criterion,…

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

\triangle ABC

AB = (5x-1)\,\text{cm}

and

AC = 12\,\text{cm}

. In

\triangle DEF

DE = (2x+8)\,\text{cm}

and

DF = 12\,\text{cm}

. If

\angle BAC = \angle EDF

and the two triangles are congruent by the SAS criterion, then the value of

x

is (a)

\dfrac{13}{5}

(b)

2

(c)

3

(d)

\dfrac{7}{3}