The Baudhayana-Pythagoras Theorem Class 8 Assertion and Reasoning Questions

The Baudhayana-Pythagoras Theorem Class 8 Assertion and Reasoning Questions

The Baudhayana-Pythagoras Theorem Class 8 Assertion and Reasoning Questions

In each of the following questions, two statements have been given. One has been labelled as Assertion (A) and the other has been labelled as Reason (R). You have to choose the correct option, from the given four options.

(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

(c) (A) is correct but (R) is not correct.

(d) (R) is correct but (A) is not correct.

1. (A) : Angle A and B of a triangle are 20° and 70° respectively, then ∠C = 90°.

(R) : Hypotenuse of this triangle ABC is BC.

Answer:

(c) (A) is correct but (R) is not correct.

2. (A) : In triangle PQR, if PR² + QR² = PQ², then ∠R is a right angle.

(R) : PQ is the hypotenuse of the triangle PQR.

Answer:

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

3. (A): (1.5, 2, 2.5) is a Baudhayana triple.

(R) : 1.5, 2, 2.5 (in cm) are sides of a right triangle.

Answer:

(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

4. (A) : (23, 24, 25) is a Baudhayana triple.

(R): (3, 4, 5) is a Baudhayana triple.

Answer:

(d) (R) is correct but (A) is not correct.

5. (A) : (10, 24, 26) is a Baudhayana triple.

(R) : 10² + 24² = 26².

Answer:

(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).