Question

The length of the sides DEF are 12,16,and 20. Find the perimeter of the triangle formed by connection the midpoints of the sides of DEF

Answer 1

`P= (1)/(2) (d + e + f)`

`P= (1)/(2) (12 + 16 + 20)`

`P= (1)/(2) (48)`

`P=\cancel{ (1)/(2) (48)}`

`\sf\red{P= 24}`

Answer 2

• 24 units

Explanation:

According to the midsegment theorem, the length of each side of the formed triangle is the half the parallel side of DEF.

So the perimeter is:

• P = 1/2(12 + 16 + 20) = 24