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प्रश्न
In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:
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उत्तर
In ∆ABC, by Pythagoras theorem
(AC)2 = (AB)2 + (BC)2
(AC)2 = 62 + 82
(AC)2 = 36 + 64
(AC)2 = 100
(AC)2 = 102
∴ AC = 10 cm
In ∆EDC,
DC = BD – BC = (14 – 8) cm = 6 cm, CE = 10 cm
Now, in ∆ABC and ∆CDE,
∠B = ∠D ...(Each 90°)
AB = CD = 6 cm
AC = CE = 10 cm ...(Hypotenuse)
∴ ∆ABC ≅ ∆CDE ...(RHS criterion)
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संबंधित प्रश्न
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form:
∆ABC, ∠B = 90°, AC = 8 cm, AB = 3 cm.
∆PQR, ∠P = 90°, PR = 3 cm, QR = 8 cm.
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In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:
In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:
In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:
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