Question

c=30a= 18b?By using Pythagorean theorem find the length of the missing side e (Hypotenuse)(2 Points)242570103

Answer 1

The Pythagorean theorem states that, if c is the length of the hypotenuse of a right triangle and a and b the lengths of its legs, then

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

Making this an equation for b, which is the side we're interested in, we get:

$b^2=c^2-a^2$

Using the values we were given:

$b^2=30^2-18^2=900-324=576$

Taking the square root of both sides:

$b=\sqrt[]{576}=24$

And so, the correct answer is the first option.