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laila [671]
3 years ago
15

Which of the following sets of possible side lengths forms a right triangle?

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

Which of the following sets of possible side lengths forms a right triangle?

<h3><em><u>11, 60, and 61</u></em><em><u>✓</u></em></h3>

6, 12, and 13

9, 40, and 45

12, 35, and 38

Step-by-step explanation:

\sqrt{ {11}^{2} +  {60}^{2}  }   \\ =  \sqrt{121 + 3600}  \\  =  \sqrt{3721}  \\  =  \sqrt{ {61}^{2} }  \\ =  61

<h3>11, 60 and 61 is the right answer.</h3>
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Solve for all values of x by factoring.<br> x^2 + 4x – 30 = -3x
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{x}^{2}  + 4x - 30 =  - 3x \\{x}^{2}  + 7x - 30 = 0 \\  {x}^{2}  - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\  \boxed{x = 3} \\  \boxed{x =  - 10}

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Method 2:

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