Question

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?

Answer 1

To answer this question you must use Pythagorean theorem

$a^{2} +b^{2}=c^{2}$

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

$3^{2} +b^{2} =√34^{2}$

Simplify

9 + b² = 34

solve for b

$b^{2}$ = 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