Question

The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is 

Options

• `6 2/3` cm

• `(10sqrt(6))/3` cm

• `66 2/3` cm

• 15 cm

Answer 1

15 cm

Explanation;

Hint:


`("Perimeter of"  Delta "ABC")/("Perimeter of"  Delta "PQR") = "AB"/"PQ"`

`36/24 = "AB"/10`

36 × 10 = 24 AB

AB = `(36 xx 10)/24`

AB = 15 cm