If the hypotenuse and one of the other two sides of a right angles triangle is equal to the hypotenuse and one of the other two sides of the other right-angled triangle respectively, then the two right-angled triangles are ___.

congruent

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unequal

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equilateral

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None of the these

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Solution

The correct option is A congruent
Given,
Both the hypotenuse of the triangles are equal
One of other two sides are equal
Both are right angled triangles.
So by Side Angle Side we can say that both the angles are congruent.
Hence option A is the correct answer.

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Similar questions

Two right triangles are congruent, if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle. If true enter 1 else 0.

Which of the following statements are true (T) and which are false (F):

(i) Sides opposite to equal angles of a triangle may be unequal.

(ii) Angles opposite to equal sides of a triangle are equal.

(iii) The measure of each angle of an equilateral triangle is 60°.

(iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.

(v) The bisectors of two equal angles of a triangle are equal.

(vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.

(vii) The two altitudes corresponding to two equal sides of a triangle need not be equal.

(viii) If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.

(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.

Q. In a right angle triangle if the square of hypotenuse is equal to twice the product of the other two sides, then one of the acute angle of the triangle is:

Q. The hypotenuse of a right angled triangle is

26 c m

. If the sum of the other two sides is

34 c m

, find the other two sides.

If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then prove that two triangles are congruent.

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If the hypotenuse and one of the other two sides of a right angles triangle is equal to the hypotenuse and one of the other two sides of the other right-angled triangle respectively, then the two right-angled triangles are ___.

The correct option is A congruentGiven,Both the hypotenuse of the triangles are equalOne of other two sides are equalBoth are right angled triangles.So by Side Angle Side we can say that both the angles are congruent.Hence option A is the correct answer.

The correct option is A congruent
Given,
Both the hypotenuse of the triangles are equal
One of other two sides are equal
Both are right angled triangles.
So by Side Angle Side we can say that both the angles are congruent.
Hence option A is the correct answer.