Question

What is the area of the small triangle

Answer 1

B

Explanation:

if the ratio of the sides of 2 similar triangles = a : b , then

the ratio of their areas = a² : b²

the ratio of the sides of the 2 given similar triangles = 4 : 9 , then

ratio of areas = 4² : 9² = 16 : 81

let the area of the smaller triangle be x then by proportion

`(ratio)/(area)` :
`(16)/(x)` =
`(81)/(162)` =
`(1)/(2)` ( cross- multiply )

x = 2 × 16 = 32

the area of the small triangle is 32 cm²