two similar triangles have sides respectively 2cm(smaller triangle) and 6cm(larger triangle). if the area of smaller is 3cm square find the area of larger.

Question

geometry of o levels

Answer 1

The scale factor for the triangles (larger/smaller) = 6/2 = 3.

 

The area of the larger triangle equals the area of the smaller triangle times the square of the scale factor (3² = 9):

 

Area of Larger Triangle = Area of Smaller triangle * Scale Factor² = (3 cm²)*9 = 27 cm².