Question

Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.) BC = 6 cm AC = 5 cm BA = 4 cm The perimeter of triangle ABC = 12 cm. The area of triangle ABC is One-third the area of triangle DEF.

Answer 1

By midpoint theorem

When FD is 6cm then FA is 3cm

FA=BC ( 3cm )

Similarly

AB=DC (5cm)

AC=FB (4cm)

There's, the perimeter of the triangle is 12cm.

The area of the triangle ABC is 1/4 the area of DEF

Please mark my answer as brainliest

Answer 2

Answer: The area of the triangle ABC is 1/4 the area of DEF

Step-by-step explanation:

By midpoint theorem

When FD is 6cm then FA is 3cm

$FA=BC(3cm)$

Similarly

$AB=AD(5cm)$

$AC=FB(4cm)$

There's, the perimeter of the triangle is 12cm.

The area of the triangle ABC is 1/4 the area of DEF