Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth. a = 6, b = 3, C = ​

I got 6.7 but I'm not entirely sure

Step-by-step explanation:

Pythagorean Theorem is A² + B² = C²

So you take 6² + 3² = 45

Take 45 and square root it

The answer should be 6.708, but rounding to the nearest tenth, the answer is 6.7

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4