Answer:
76 units
Step-by-step explanation:
In the given figure, a circle with center Q is inscribed in triangle AHD.
Let the circle with center Q touches the side HD at point N.
So, AT & AM, DM & DN and HT & HN are tangents drawn from external points A, D and H respectively.
Since, measure of tangsnts drawn from external point to a circle are equal.
Therefore,
AM = AT = 18
HN = HT = 8
DM = DN = 12
AH = AT + HT = 18 + 8 = 26
AD = AM + DM = 18 + 12 = 30
HD = DN + HN = 12 + 8 = 20
Perimeter of triangle
= AH + AD + HD
= 26 + 30 + 20
= 76 units
