Answer:
the area of ∆DEF = 6 cm²
Step-by-step explanation:
The midpoint theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
DE // BC and DE = BC/2 = 10/2 = 5
same reason: DF = AC/2 = 4
FE = AB/2 = 3
DF² + FE² = 16 + 9 = 25 = 5² = DE²
by the Pythagorean theorem, ΔDFE is a right triangle
area ΔDEF = (3 x 4) / 2 = 6 cm²
