Answer:
[tex]Perimeter = 21[/tex]
Step-by-step explanation:
Given
[tex]IJ = 10[/tex]
[tex]FH = 8[/tex]
[tex]GH =14[/tex]
Required
Calculate the perimeter of IJH
See attachment for illustration
From the attachment,
I = mid of FH.
So:
[tex]HI = \frac{1}{2} * FH[/tex]
[tex]HI = \frac{1}{2} * 8[/tex]
[tex]HI = 4[/tex]
J = mid of GH.
So:
[tex]HJ = \frac{1}{2} * GH[/tex]
[tex]HJ = \frac{1}{2} * 14[/tex]
[tex]HJ = 7[/tex]
Perimeter IJH is then calculated as:
[tex]Perimeter = HI + HJ + IJ[/tex]
[tex]Perimeter = 4 + 7 + 10[/tex]
[tex]Perimeter = 21[/tex]