Question

Consider triangle ABC. The legs have a length of 5 units each. What is the length of the hypotenuse of the triangle?

Answer 1

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Answer 2

`5√(2)` units.

Explanation:

We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.

We will use Pythagoras theorem to solve for the hypotenuse of triangle ABC.

`\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2`

Substituting our given values in above equation we will get,

`\text{Hypotenuse}^2=5^2+5^2`

`\text{Hypotenuse}^2=25+25`

`\text{Hypotenuse}^2=50`

Upon taking square root of both sides of our equation we will get,

`\text{Hypotenuse}=√(50)`

`\text{Hypotenuse}=√(25*2)`

`\text{Hypotenuse}=5√(2)`

Therefore, the length of hypotenuse of triangle ABC is
`5√(2)` units.