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

Triangle JKL is a right triangle. What is the length of JK?-example-1

2 Answers

0 votes

I would go with

G: 4 cm

Or

J: 8 cm

Let me know if you get it correct! :)

User Spone
by
6.5k points
3 votes

Answer:


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

User Sourav Das
by
7.1k points