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Katena32 [7]
3 years ago
12

GEOMETRY B

Mathematics
2 answers:
Daniel [21]3 years ago
7 0

Answer: The length of the hypotenuse is 12 inches.

Step-by-step explanation:

You need to use the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

You can say that:

b=6in\\c=6\sqrt{3}in

Therefore, substituting values into a^2=b^2+c^2 and solving for "a", we get that the lenght of the hypotenuse is:

a^2=(6in)^2+(6\sqrt{3}in)^2\\a=\sqrt{(6in)^2+(6\sqrt{3}in)^2}\\\\a=12in

Harman [31]3 years ago
5 0

Answer:

Hypotenuse = 12 inches

Step-by-step explanation:

As the given triangle involves an angle of 90°, this is a right angle triangle.

We an use the Pythagoras theorem to find the length of hypotenuse

So,

(H)^2 = (B)^2 + (P)^2\\H^2 = (6)^2 + (6\sqrt{3})^2\\ H^2 = 36 + (36*3)\\H^2 = 36 + 108\\H^2 = 144\\\sqrt{H^2}=\sqrt{144}\\ H=12\ inches

Hence the length of hypotenuse is 12 inches ..

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