# In each of the given pairs of triangles of Fig. 6.43 ABCDE, 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 AEC and BED.

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__ ACE and DBE,

Given, AE = BE

From the figure,

AE and BE are the hypotenuse of the triangle AEC and BED.

Also, CE = DE

∠ACE = ∠BDE = 90°

By RHS rule, ∆AEC ≅ ∆BED

**✦ 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 (c)**

## In each of the given pairs of triangles of Fig. 6.43 ABC, PQR, 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 ∆AEC ≅ ∆BED.

**☛ Related Questions:**

- In each of the given pairs of triangles of ABCDE Fig. 6.43, using only RHS congruence criterion, det . . . .
- In each of the given pairs of triangles of UXYZ Fig. 6.43, using only RHS congruence criterion, dete . . . .
- In each of the given pairs of triangles of Fig. 6.43 LMNO, using only RHS congruence criterion, dete . . . .

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