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Andreas93 [3]
2 years ago
10

If a= 2ft and c= 11ft. Find the missing side of the right triangle

Mathematics
1 answer:
dlinn [17]2 years ago
6 0

Answer:

\sqrt{117} or 3\sqrt{13}

Step-by-step explanation:

The formula for finding the any side of the triangle is

a^{2}+b^{2} =c^{2}

We know that a=2 and c=11, so we can go ahead and plug those into the formula.

2^{2}+b^{2} =11^{2}

4+b^{2} =121

To find side b, we have to make it alone on one side. Subtract 4 on both side.

b^{2} =117

Now square root both sides, and that leaves us with:

b=\sqrt{117} or 3\sqrt{13}

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The sides of a triangle are x , x +1 , 2 x -1 and its area is x root of 10 .Find the value of x.
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Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.

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<span>2x³-12x²=0</span>

<span>2x²(x-6)=0</span>

<span>2x²=0 or x-6=0</span>

<span>x=0 or x=6</span>

<span>Therefore, x=6 (you can't have a length of 0).</span>

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