Answer: if the base is 24
Area = (base x height)/2, thus height = 2 (area/base)
height = 2(192/24)
Which gives you 40
height = 16 cm
the height and half of the base will give you two identical rightangle halves of the triangle
use pythagorean theorem to get the length of the hypotenuse of the 2 identical halves
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
(square root)400 = c
20 cm = c
there are 2 of these hypotenuses in the original triangle, so add the base and the 2 "hypotenuses" to get the perimeter
P = 20 + 20 + 24
P = 64 cm
****the perimeter of the isosceles triangle is 64cm
Step-by-step explanation:
