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प्रश्न
If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent.
पर्याय
True
False
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उत्तर
This statement is True.
Explanation:
In ΔABC and ΔPQR,
∠B = ∠Q = 90°
∠C = ∠R ...[Given]
⇒ ∠A = ∠P
Now, in ΔABC and ΔPQR,
∠A = ∠P
AC = PR
∠C = ∠R
By ASA congruence criterian,
ΔABC ≅ ΔPQR
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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, by the ASA congruence rule. In the case of congruence, write it in symbolic form.
∆DEF, ∠D = 60º, ∠F = 80º, DF = 6 cm.
∆PQR, ∠Q = 60º, ∠R = 80º, QP = 6 cm.
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