Mathematics
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.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
Triangles
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Answer
Congruent figures are identical in every respect, meaning they have the same shape and occupy the same amount of space.
If two triangles have the same shape and size (i.e., they are congruent), then they must necessarily cover the same amount of space, meaning they have equal areas.
∴ Reason (R) is true.
Area of one triangle = x base x height
= x 6 x 4
= 3 x 4
= 12 cm2.
If two triangles are congruent, their areas must be equal.
So, the area of the second triangle is also 12 cm2.
The sum of the areas is 12 cm2 + 12 cm2 = 24 cm2.
∴ Assertion (A) is true.
∴ Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason (or explanation) for Assertion (A).
Hence, option 3 is the correct option.
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