Question
If MNOP is a square, then find the perimeter of triangle MNG.
- 17 cm
- 12 cm
- 22 cm
- 10 cm
The correct answer is: 22 cm
given that if MNOP is a square we need to find the perimeter of triangle MNG.
The sides of a square are equal.
So, MN = NO = OP = PM = 12 cm
Also, the diagonals of a square are congruent and bisect each other.
So, MG = NG = PG = OG = 5 cm [Given: OG = 5 cm]
Perimeter of ΔMNG, MN + NG + GM = 12 + 5 + 5
= 22 cm
Using the properties of square we find that the perimeter of triangle MNG is 22 cm
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