Respuesta :
To answer this question you must use Pythagorean theorem
[tex]a^{2} +b^{2}=c^{2}[/tex]
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 3
b = unknown
c = √34
^^^Plug these numbers into the theorem
[tex]3^{2} +b^{2} =√34^{2}[/tex]
Simplify
9 + b² = 34
solve for b
[tex]b^{2}[/tex] = 25
Take the square root of both sides to cancel out the square from the b
√b² = √25
b = 5
Hope this helped!
~Just a girl in love with Shawn Mendes
The length of the other leg would be 5 calculated by a Pythagorean theorem by One must understand and use the Pythagorean theorem to answer this question:
Pythagorean theorem:
- a² + b² = c²
- it says that the sum of the square of two sides of a triangle equals the hypotenuse squared.
Where a and b are the sides that form a right angle or perpendicular, and c is the hypotenuse.
Given:
a = 3
b = ?
c = √34
Solution:
put these numbers into the Pythagorean theorem:
Simplify
3² + b² = 34
9 + b² = 34
solve for x
= 25
Take the square root of both sides to cancel out the square from the b:
√b² = √25
b = 5
Thus, the second leg of the triangle would be - 5.
Learn more about the Pythagorean theorem:
https://brainly.com/question/14930619
