Question

IJ is a midsegment of FGH. IJ=10, FH=8, and GH=14.Find the perimeter of ijh

Answer 1

Answer:

$Perimeter = 21$

Step-by-step explanation:

Given

$IJ = 10$

$FH = 8$

$GH =14$

Required

Calculate the perimeter of IJH

See attachment for illustration

From the attachment,

I = mid of FH.

So:

$HI = \frac{1}{2} * FH$

$HI = \frac{1}{2} * 8$

$HI = 4$

J = mid of GH.

So:

$HJ = \frac{1}{2} * GH$

$HJ = \frac{1}{2} * 14$

$HJ = 7$

Perimeter IJH is then calculated as:

$Perimeter = HI + HJ + IJ$

$Perimeter = 4 + 7 + 10$

$Perimeter = 21$