Answer:
Area of triangle DFG = 175
Area of triangle ABC = 252
Step-by-step explanation:
It is given that,
The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater than the area of the triangle DFG by 77 cm2.
Let area of triangle DFG = x then area of triangle ABC = x + 77
<u>To find the area of 2 triangles</u>
ar(DFG)/ar(ABC = (5/6)²
x/(x + 77) = 25/36
36x = 25x + (25 * 77)
36x - 25x = 25 * 77
11x = 25 * 77
x = 175
Therefore area of triangle DFG = 175
Area of triangle ABC = 175 + 77 = 252
