Assertion: The area of two similar triangles ABC and PQR are in the ratio 1317 9:16. if BC =4.5 cm then the length of QR is 6cm. Reason: The ratio of area of two similar triangle is equal to the ratio of their corresponding sides. O (a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). O (b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). O (c)Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true
Answers
Answer:
6
Step-by-step explanation:
Given △ABC∼△PQR
∴area(△PQR)area(△ABC)=QR2BC2
⟹169=QR24.52
QR=34×4.5
∴QR=6cm
Given : Assertion: The area of two similar triangles ABC and PQR are in the ratio 9:16. if BC =4.5 cm then the length of QR is 6cm
Reason: The ratio of area of two similar triangle is equal to the ratio of their corresponding sides
To Find : Choose correct option
Solution:
Assertion: The area of two similar triangles ABC and PQR are in the ratio 9:16. if BC =4.5 cm then the length of QR is 6cm
The ratio of area of two similar triangle is equal to the ratio of square of their corresponding sides
=> Ratio of area of triangles ABC and PQR = (BC/QR)²
= (4.5/6)²
= (3/4)²
= 9/16
= 9 : 16
Assertion is correct
Reason: The ratio of area of two similar triangle is equal to the ratio of their corresponding sides - INCORRECT
as it is square of of their corresponding sides -
(c)Assertion (A) is true but reason (R) is false.
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