Triangles

Question

Triangle ABC and Triangles A'B'C' are similar triangles with A' B'/A B = 5/4. If the area of triangle ABC is 80 square units,

find the area of triangle A' B' C'.

Answer 1

If A'B'/AB =5/4

Then the Area of triangle A'B'C'/Area of ABC = 25/16 (since the area must be something square).

Set x as area of triangle A'B'C'.

We have x/80 =25/16.

x = (25 * 80)/16

x = 125 square units.

Therefore, area of triangle A'B'C' is 125 square units.