If the length of one leg of a right triangle is 3 and the hypotenuse is √34, what is the length of the other leg?

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:

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:

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To answer this question you must use Pythagorean theorem

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

Simplify

9 + b² = 34

solve for b

= 25

Take the square root of both sides to cancel out the square from the b

√b² = √25

b = 5

Hope this helped!

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step-by-step explanation: