Question

Triangle JKL is a right triangle. What is the length of JK?

Answer 1

I would go with

G: 4 cm

Or

J: 8 cm

Let me know if you get it correct! :)

Answer 2

`H.2√(2)\ cm`

Explanation:

Hello, I think I can help you with this

To solve this you can use the Pythagorean theorem, which states

in a right triangle:

`side\ length^(2)+side\ length^(2)=hypotenuse^(2) \\`

the hypotenuse is the longest length of the triangle, in this case JK

Step 1

Let

side1= 2 cm

side2= 2 cm

hypotenuse=unknown=JK

isolate the hypotenuse from the equation

`side\ length^(2)+side\ length^(2)=hypotenuse^(2)\\hypotenuse=\sqrt{side\ length^(2)+side\ length^(2)}`

It's a distance, we'll only take the positive root

put the values into the formula

`hypotenuse=\sqrt{side\ length^(2)+side\ length^(2)} \\hypotenuse=\sqrt{(2\ cm)^(2)+(2\ cm)^(2)}\\hypotenuse=\sqrt{4\ (cm)^(2)+4\ (cm)^(2)}\\hypotenuse=\sqrt{8\ (cm)^(2)} \\hypotenuse=\sqrt{4\ (cm)^(2)*2} \\hypotenuse=\sqrt{4\ (cm)^(2)} √(2)\\hypotenuse=2√(2)\ cm`

the length JK is

`2√(2)\ cm`

have a good day