ASSERTION (A): In a Triangle ABC, AB= 24 cm, BC= 7 cm and AC = 25 cm, then Triangle ABC is a right angle triangle. REASONING (R): The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
(a) Both assertion(A) and reason(R) are true and reason (R)is the correct explanation of assertion(A).
(b) Both assertion(A) and reason(R) are true but reason(R) is not the correct explanation of assertion(A).
(c) Assertion (A) is true but reason(R) is false.
(d) Assertion (A) is false but reason(R) is true.
Answers
Answer:
THE OPTION B is the answer not the option c
Given : ASSERTION (A): In a Triangle ABC, AB= 24 cm, BC= 7 cm and AC = 25 cm, then Triangle ABC is a right angle triangle.
REASONING (R): The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
To Find : Correct option
Solution:
ASSERTION (A): In a Triangle ABC, AB= 24 cm, BC= 7 cm and AC = 25 cm, then Triangle ABC is a right angle triangle.
25² = 625
24² = 576
7² = 49
576 + 49 = 625
=> 24² + 7² = 25²
Using Pythagorean converse triangles is right angle triangle
Hence Assertion is CORRECT
REASONING (R): The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
CORECT
But reason is not the correct explanation of Assertion
Hence Correct option is:
(b) Both assertion(A) and reason(R) are true but reason(R) is not the correct explanation of assertion(A).
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