Question

if the length of 1 leg of a right triangle is 5 and the hypotenuse has length 45, what id the length of the third side

Answer 1

5^2 + x^2 = 45^2
25 + x^2 = 2025
x^2 = 2000
x= \[20\sqrt{5}\]

Answer 2

a^2 + b^2 = c^2 is standard formula for right triangle
solve for unknown leg; say b
a = SQRT(c^2-b^2) = SQRT(45^2-5^2)
a = 44.721359549995793928183473374626

Answer 3

Pythagorean Theorem \[a^2+b^2=c^2\]
a and b are the legs of a right triangle and c is the hypotenuse.

So plug in what you have. let us say a=5 and c=45, therefore we need to solve for b
So we have:
\[25+b^2=2025\]
subtract 25 from both sides
\[b^2=2000\]
then take the square root of both sides
\[b \approx 44.7214\]