Question

The areas of similar triangles are 144 2 and 81 2 respectively. If the longest side of largest triangle is 36 , then the longest side of smaller triangle is A) 9 B) 12 C) 27 D) 18 ​

Answer 1

Answer:

Answer = C) 27

Step-by-step explanation:

Ratio of areas of similar triangle 

= (sides)²

Triangle ABC = 144

Triangle DEF = 81

Let the Largest of the triangle DEF = X

144/81 = 12/9

36/X = 12/9

X = 36 × 9

12

X = 27