Respuesta :
Using the principle of Pythagoras and the perimeter formular, the perimeter of the triangle is 85 inches.
Recall : Since the triangle is congruent :
- Altitude = 36 inches
- Base = 12 inches
- Half of the base = 12/2 = 6 inches
Using the principle of Pythagoras, we can obtain the hypotenus of the triangle :
Hypotenus = √(36² + 6²)
Hypotenus = √(1296 + 36) = √1332 = 36.496 = 36.5 inches
The perimeter of a triangle can is the sum of the side lengths of the triangle :
- (base + side 1 + side 2) = (12 + 36.5 + 36.5) = 85 inches
Therefore, the perimeter of the triangle is 85 inches.
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