Question

Allel...

Answer 1

Answer:

Perimeter of triangle PQR = 181.5 mm

Step-by-step explanation:

Midsegment theorem states that,

"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"

From the figure attached,

PQ = $\frac{1}{2}(EF)$

     = $\frac{83}{2}$

     = 41.5 mm

PR = $\frac{1}{2}(GF)$

     = $\frac{110}{2}$

     = 55 mm

QR = $\frac{1}{2}(GE)$

      = $\frac{170}{2}$

      = 85 mm

Perimeter of triangle PQR = PQ + QR + PR

                                           = 41.5 + 55 + 85

                                           = 181.5 mm