How do you use the Pythagoras Theorem to find side length of triangle abc if ac=7 and bc=3?

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How do you use the Pythagoras Theorem to find side length of triangle abc if ac=7 and bc=3?

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Answer 1 · 2016-07-01T07:57:16

"Side length" of triangle is $6.324$ $6.324$

Explanation:

As the "side length" is to be found using Pythagoras theorem, it is apparent that of known sides $a c = 7$ $ac=7$ and $b c = 3$ $bc=3$ , $a c$ $ac$ the greater one is the hypotenuse and we have to find $a b$ $ab$ .

Now according to Pythagoras theorem square of hypotenuse is equal to sum of the squares of other two sides, hence

$7^{2} = 3^{2} + {(b c)}^{2}$ $7^2=3^2+(bc)^2$ or

$49 = 9 + {(b c)}^{2}$ $49=9+(bc)^2$

or ${(b c)}^{2} = 49 - 9 = 40$ $(bc)^2=49-9=40$

Hence $b c = \sqrt{40} = \sqrt{2 \times 2 \times 10} = 2 \sqrt{10} = 2 \times 3.162 = 6.324$ $bc=sqrt40=sqrt(2xx2xx10)=2sqrt10=2xx3.162=6.324$

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How do you use the Pythagoras Theorem to find side length of triangle abc if ac=7 and bc=3?

1 Answer

Explanation:

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