If hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the two triangles are congruent.

True

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False

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Solution

The correct option is A True
If hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle, then we can say that all the three angles of both the triangles will be equal by angle sum property of triangle. And since one side i.e. hypotenuse of one triangle is already equal to the hypotenuse of another triangle therefore the two triangles will be congruent by ASA congruence rule.
Hence, the above statement is true.

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Question 104

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(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
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Q. Assertion : If the hypotenuse and an acute angle of one right triangle is equal to the hypotenuse and corresponding acute angle of another right triangle, then those two

Δ

s are congruent.

Reason : By RHS property, the two right

Δ

s are congruent.

Which of the following statements is correct?

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