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skelet666 [1.2K]
3 years ago
13

A triangle has sides with lengths of 13 kilometers, 18 kilometers, and 20 kilometers. Is it a right triangle?

Mathematics
1 answer:
baherus [9]3 years ago
3 0

Answer:

No, it is not a right triangle

Step-by-step explanation:

<em>Lets explain how to check the sides lengths which formed a  right angled triangle </em>

In triangle ABC :

  • If AC is the longest side in length
  • If (AC)² = (AB)² + (BC)²
  • Then, AB , BC , AC formed a right angle triangle  in ∠B (opposite to AC) is a right angle and AC is the hypotenuse

The lengths of the sides of the triangle are 13 km, 18 km, 20 km

∵ The length of the longest sides is 20 km

- Find its square

∵ (20)² = 400

∴ The square of the length of the longest side is 400

∵ The length of the shortest sides are 13 km and 18 km

- Find the sum of their squares

∵ (13)² + (18)² = 169 + 324 = 493

∴ The sum of the squares of the lengths of the shortest sides is 493

∵ 400 ≠ 493

∴ The sides of 13 km, 18 km and 20 km <em>CAN NOT</em> be sides of

   a right triangle

No, it is not a right triangle

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