Two triangles and satisfy the following conditions:

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

Two triangles △DEF\triangle DEF and △LMN\triangle LMN satisfy the following conditions: ∠D=70∘,  ∠F=40∘,  DF=8 cm\angle D = 70^{\circ},\; \angle F = 40^{\circ},\; DF = 8\,\text{cm}, ∠L=70∘,  ∠N=40∘,  LN=8 cm\angle L = 70^{\circ},\; \angle N = 40^{\circ},\; LN = 8\,\text{cm} and DE=9.2 cmDE = 9.2\,\text{cm}. (i) Establish the congruence of the two triangles. (ii) List all pairs of equal corresponding parts obtained from the congruence. (iii) Find the length of side LMLM.

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