Q6 of 70 Page 140

Fill in the blanks so that the following statements are true:

Area of ΔABC = 36 and area of ΔPQR = 64. The correspondence ABC ↔ PQR is a similarity. If AB = 12, then PQ = ______.

Given: Area of ∆ABC = 36,


Area of ∆PQR = 64


AB = 12


The correspondence ABC ↔ PQR is a similarity.


To find: PQ = ?


For this,


Recall the property,


Ratio of areas of two similar triangles = Ratio of squares of the corresponding sides


⇒


⇒


⇒


⇒


⇒


⇒


⇒ PQ = 2 × 8


⇒ PQ = 16


Thus, answer is 16.


More from this chapter

All 70 →
6

Fill in the blanks so that the following statements are true:

In ΔABC, and are altitudes. If AB = 12, BC = 15 and AM = 9.6, then CN = _____.

 6

Fill in the blanks so that the following statements are true:

Areas of two similar triangles are 25 and 16. The ratio of the perimeters of the triangles is _______.

 6

Fill in the blanks so that the following statements are true:

In ΔABC, A—M—B, A—N—C and ||. If AM = 8.4, AN = 6.4, CN = 19.2, then AB = ______.

 6

Fill in the blanks so that the following statements are true:

The correspondence ABC ↔ PQR is a similarity in Δ ABC and ΔPQR. AB = 16, AC = 8, PQ = 24, BC = 12, then QR + PR = ____.