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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 36 inches, and the length of the base is 12 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch. Were using the prothagrum therum. PLEASE NO LINKS OR RANDOM COMMENTS.

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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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Answer: 85 perimeter

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