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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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Step-by-step explanation:

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Elena L [17]

Hello from MrBillDoesMath!

Answer:

The third choice,  99


Discussion:

I'm not sure what that strange cutout in the parallelogram has to do with the problem but ..... the area of parallelogram is given by (base)(height). In our case, assuming the length ("height') ED =   11 and length  AB ("base") =  5 + 4 = 9, the area = 11 * 9 = 99 square centimeter. This is the third choice.


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Step-by-step explanation:

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