Question

The lengths of the legs of a right triangle are 4 and 5. What is the length
of the hypotenuse

Answer 1

`√(41)`

Explanation:

`let \: the \: hypothenuse =\: x \\ by \: pythagoras \: theorem \\ x {}^(2) = 4 {}^(2) + 5 {}^(2) \\ x {}^(2) = 16 + 25 \\ x {}^(2) = 41 \\ sqare \: root \: bothsides \\( √(x)) {}^(2) = √(41) \\ x = √(41) \\ lenght \: of \: the \: hypothenus = √(41)`