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malfutka [58]
2 years ago
10

Which set of side lenghts can be used to form a right triangle

Mathematics
1 answer:
Nookie1986 [14]2 years ago
4 0
<h3>Solution:</h3>

<u>A few tips...</u>

  • Pythagoras theorem can ONLY be used in right triangles.
  • Usually, the longest side is the hypotenuse.

Option A:

  • 6² = 5² + 4²
  • => 36 = 25 + 16
  • => 36 ≠ 41

The <u>side lengths</u> given are <u>not possible</u> for a right triangle.

Option B:

  • 50² = 40² + 30²
  • => 2500 = 1600 + 900
  • => 2500 = 2500

The <u>side lengths</u> given are <u>possible</u> for a right triangle.

Option C:

  • 30² = 20² + 10²
  • => 900 = 400 + 100
  • => 900 ≠ 500

The <u>side lengths</u> given are <u>not possible</u> for a right triangle.

Option D:

  • 4² = 3² + 2²
  • => 16 = 9 + 4
  • => 13 ≠ 16

The <u>side lengths</u> given are <u>not possible</u> for a right triangle.

<h3>In conclusion...</h3>
  • Option B is correct.
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