Question

Assertion: The areas of two similar triangles ABC and PQR are in the ratio 9: 16. If BC= 4.5cm, then the length of QR is 6cm.
Reason: The ratios of the areas of the two similar triangles is equal to the ratio of their corresponding sides.

a) Both assertion and reason are true and reason is the correct explanation of assertion.
b) Both assertion and reason are true but reason is not the correct explanation of assertion.
c) Assertion is true but reason is false
d) Assertion is false but reason is true

PLS GIVE ANS FAST

Answer 1

Answer:

The areas of two similar triangle ABC and PQR are in the ratio 9:16

Theorem : the ratio of the area of the two similar triangles is equal to the ratio of the square of the corresponding sides of the triangle

$\sf \longrightarrow \: So, \frac{9}{16}=\frac{BC^2}{QR^2}$

BC = 4.5

$\longrightarrow\sf\frac{9}{16}=\frac{BC^2}{QR^2}\\ \\ \longrightarrow\sf \frac{9}{16}=\frac{4.5^2}{QR^2} \\ \\ \longrightarrow\sf QR^2=\frac{4.5^2}{\frac{9}{16}}\\ \\\longrightarrow \sf QR^2=36\\ \\ \sf \longrightarrow: QR=\sqrt{36}$

Hence the length of QR is 6 cm