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# In each of the given pairs of triangles of Fig. 6.43, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

**Solution:**

Given, the figure represents two triangles LOM and LON.

We have to apply the RHS congruence criterion to the __triangle__.

We have to write the congruent triangles in symbolic form.

RHS congruence theorem states that, if the __hypotenuse__ and side of one right-angled triangle are equal to the hypotenuse and the __corresponding side__ of another __right-angled triangle__, the two triangles are __congruent__.

Considering triangle LOM and LON,

Given, LM = LN = 8 cm

From the figure,

LM and LN are the hypotenuse of the triangle LOM and LON.

Common side = LO

∠LOM = ∠LON = 90°

By RHS rule, ∆LOM ≅ ∆LON

**✦ Try This: **In each of the given pairs of triangles of Fig. 6.43, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 6

**NCERT Exemplar Class 7 Maths Chapter 6 Problem 135 (f)**

## In each of the given pairs of triangles of Fig. 6.43 LMNO, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

**Summary:**

The given pair of triangles are congruent by RHS congruence criterion. The symbolic form is ∆LOM ≅ ∆LON.

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