Question

For formality
its easy lol​

Answer 1

Therefore, the length of hypotenuse is: 13 units

Explanation:

• As the given triangle is a right triangle.

• We can find the length of hypotenuse using the Pythagoras' Theorem

Let c be the length of hypotenuse

Using Pythagoras' Theorem for the given triangle

`5^2\:+\:12^2\:=\:c^2`

`\mathrm{Switch\:sides}`

`c^2=5^2+12^2`

`c^2=25+144`

`c^2=169`

`\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=√(f\left(a\right)),\:\:-√(f\left(a\right))`

`c=√(169),\:c=-√(169)`

`c=13,\:c=-13`

As the length of hypotenuse cannot be negative. Therefore, the length of hypotenuse is: 13 units