If ∆PQR is congruent to ∆STU (Fig. 6.20), then what is the length of TU?
(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) cannot be determined

Solution:

Given, ∆PQR is congruent to ∆STU

We have to find the length of TU.

Since ∆PQR ≅ ∆STU

Side-Side-Side congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent.

By SSS rule,

PQ = ST

QR = TU

PR = SU

From the figure,

QR = 6 cm

Therefore, TU = 6 cm.

✦ Try This: In a triangle PQR, ∠P - ∠Q = 60° and ∠P - ∠R = 80°; find angle P

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 48

If ∆PQR is congruent to ∆STU (Fig. 6.20), then what is the length of TU? (a) 5 cm, (b) 6 cm, (c) 7 cm, (d) cannot be determined

Summary:

If ∆PQR is congruent to ∆STU (Fig. 6.20), then the length of TU is 6 cm.

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