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Delvig [45]
2 years ago
13

What is the length of the missing leg? If necessary, round to the nearest tenth.

Mathematics
2 answers:
hodyreva [135]2 years ago
8 0

Answer:

7.4

Step-by-step explanation:

Pythagorean theorem is a^{2} +b^{2} =c^{2} with c being the hypotenuse and a and b being the legs.

So we are solving for a leg so let's rearrange the equation to solve for a or b, it doesn't matter, I'm going to solve for a.

so subtract b^{2} from both sides then take the square root of both sides leaving us with a=\sqrt{c^{2} -b^{2} }

Then plug in know variables so a=\sqrt{8^{2} -3^{2} } =\sqrt{64-9} =\sqrt{55} =7.41619848

Then round to get 7.4

Lesechka [4]2 years ago
3 0

<u>Answer:</u>

  • a = 7.4

<u>Step-by-step explanation:</u>

<u>We can find 'a' through Pythagoras theorem.</u>

  • => 8² = 3² + a²
  • => 64 = 9 + a²
  • => a² = 55
  • => a = √55
  • => a = 7.416 = 7.4

Hoped this helped.

BrainiacUser1357

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<img src="https://tex.z-dn.net/?f=3%5Csqrt%7B2%7D%20%2B%204%5Csqrt%5B3%5D%7B2%7D" id="TexFormula1" title="3\sqrt{2} + 4\sqrt[3]{
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