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Sagot :
Answer: 33.87
Step-by-step explanation:
Using the hypotenuse and the leg, we can use the Pythagorean Theorem to find the other leg. The Pythagorean Theorem uses the equation [tex]a^{2} + b^{2} = c^{2}[/tex], where a and b are the lengths of the sides and c is the length of the hypotenuse.
We know that one leg (a) is 3 while the hypotenuse (c) is 34, so we will plug in this values in the equation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]3^{2} + b^{2} = 34^{2}[/tex]
9 + [tex]b^{2}[/tex] = 1156
Subtract 9 on both sides:
9 + [tex]b^{2}[/tex] = 1156
-9 -9
[tex]b^{2}[/tex] = 1147
Square root:
[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{1147}[/tex]
b = ~33.87
Therefore, the length of the other leg is 33.87.
Learn more about Pythagorean Theorem here: https://brainly.com/question/15601403
Hope this helps!
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