If the lengths of two sides of an isosceles triangle are 4 cm and 10 cm, then the length of the third side is

1. 4 cm

2. 10 cm

3. 7 cm

4. 14 cm

Consider the following two statements :

Statement 1: If two angles and one side of a triangle is equal to two angles and one side of an other triangle then the two triangles are congruent.

Statement 2: The angle opposite to equal sides of an isosceles triangle are equal.

Which of the following is valid?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and Statement 2 is false.

4. Statement 1 is false, and Statement 2 is true.

Assertion (A): In the adjoining figure, Δ ABC ≅ Δ PQR.

Reason (R): Two triangles are congruent if two angles and included side of One triangle are equal to two angles and the included side of other triangle.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Assertion (A): Two triangles are congruent to each other by RHS rule of congruency. The base of the one triangle is 6 cm and the height is 4 cm. The sum of area of two triangle is 24 cm².

Reason (R): Two triangles are congruent if they have same shape and size. Congruent triangles have equal area.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).