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

Answer:

$H.2\sqrt{2}\ cm$

Step-by-step 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

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

the length JK is

$2\sqrt{2}\ cm$

have a good day