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Given below are measurements of some parts of two triangles. Examinewhether the two triangles are congruent or not, using RHS congruencerule. In case of congruent triangles, write the result in symbolic form
`/_\ABC` `/_\PQR`
`(i) /_B = 90^@, AC = 8 cm, AB = 3 cm ` `/_P = 90^@, PR = 3 cm, QR = 8 cm`
`(ii) /_A = 90^@, AC = 5 cm, BC = 9 cm``/_Q = 90^@, PR = 8 cm, PQ = 5 cm`

Text Solution

Verified by Experts

`(i)` Here, `/_B = /_P = 90^@`,
hypotenuse, `AC =` hypotenuse, `RQ (= 8 cm)` and
side `AB =` side `RP ( = 3 cm)`
So, `/_\ABC cong /_\RPQ` (By RHS Congruence rule).
`(ii)` Here, `/_A = /_Q (= 90^@)` and
side `AC =` side `PQ ( = 5 cm)`.
But hypotenuse `BC ne` hypotenuse `PR`
So, the triangles are not congruent.
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