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erastovalidia [21]
3 years ago
12

Need help ASAP please :)

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

a(6) = 2 \sqrt{3} , b(10) = 15 \sqrt{2}

Step-by-step explanation:

A. a(x) = \sqrt{2x}

a(6) = \sqrt{2(6)}

a(6) = \sqrt{12}

a(6) = \sqrt{4}\sqrt{3}

a(6) = 2 \sqrt{3}

B. b(x) = 3 \sqrt{5x}

b(10) = 3 \sqrt{5(10)}

b(10) = 3 \sqrt{50}

b(10) = 3 \sqrt{25} \sqrt{2}

b(10) = 3 x 5 \sqrt{2}

b(10) = 15 \sqrt{2}

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If a triangle has side lengths 7, 10, and 12, is it a right triangle??
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Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, a^2 + b^2 = c^2

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To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, 7^2 + b^2 = 12^2 or 10^2 + b^2 = 12^2

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10^2 + b^2 = 12^2 ==> 100 + b^2 = 144 ==> <u>b = </u>\sqrt{44<u> ==> </u><u>6.633 </u>

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Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

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