In , , and . In , , and . Use this information to answer the questions…

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

\triangle LMN

\angle L = 90^\circ

LN = 25\,\text{cm}

and

LM = 15\,\text{cm}

. In

\triangle XYZ

\angle X = 90^\circ

XZ = 25\,\text{cm}

and

XY = 15\,\text{cm}

. Use this information to answer the questions below. (i) Decide whether

\triangle LMN

and

\triangle XYZ

are congruent. State the appropriate criterion. (ii) State which side of

\triangle LMN

corresponds to side

YZ

\triangle XYZ

and write their common length. (iii) Calculate the length

MN