The Perimeter of the isosceles triangle is 15.8 cm
Let h represent the height of the triangle. Using Pythagoras theorem:
x² = h² + 2.5²
h² = x² - 6.25
h = √(x² - 6.25)
The area of the triangle is 12 cm², hence:
12 = (1/2) * 5 * √(x² - 6.25)
√(x² - 6.25) = 4.8
x = 5.41 cm
Perimeter of triangle = 5 cm + 5.41 cm + 5.41 cm = 15.8 cm
The Perimeter of the isosceles triangle is 15.8 cm
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