Answer:
Ac equals 5
The perimeter of the triangle abc is 12 cm
Ba = 4
Step-by-step explanation:
The correct statements of the triangle are; AC = 5 cm; BA = 4 cm; The perimeter of triangle ABC is 12 cm.
As we know that a, b, and c are midpoints of the sides of right triangle that means midpoint divide the side in equal parts.
Now we have to calculate the sides of triangle ABC by using Pythagoras theorem.
Using Pythagoras theorem in ΔACF :
AC² = FA² + CF²
Thus;
AC² = 3² + 4²
AC = √25
AC = 5
Using Pythagoras theorem in ΔDAB, we have;
BA = √(5² - 3²)
BA = 4 cm
Using Pythagoras Theorem, we have;
CB = √(5² - 4²)
CB = 3 cm
Perimeter of ΔABC = Side AB + Side CB+ Side AC
Perimeter of ΔABC = 4 + 3 + 5
Perimeter of ΔABC = 12 cm
Area of ΔABC = (1/2) * 4 * 3 = 6 cm²
Area of ΔDEF = (1/2) * 8 * 6 = 24 cm²
Area of ΔABC = (6/24) * Area of ΔDEF
Area of ΔABC = (1/4) * Area of ΔDEF
Read more about Correct Triangle Statements at; https://brainly.com/question/12852445
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