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emmainna [20.7K]
3 years ago
13

Segment KJ shown below is the hypotenuse of isosceles right triangle JLK.

Mathematics
2 answers:
meriva3 years ago
8 0

Answer:

Step-by-step explanation:

From the given figure, we get the coordinates of J,K and L as:

J(2,4), K(2,-2) and L(5,1).

Now, Using the distance formula,

JK=\sqrt{(2-2)^2+(-2-4)^2}

JK=6

Now, it is given that Triangle JKL has congruent sides, thus let JL=LK=x, then using Pythagoras theorem, we have

(JK)^{2}=(JL)^2+(LK)^2

⇒36=x^2+x^2

⇒36=2x^2

⇒x^2=18

⇒x=\sqrt{18}

Thus, the length of one of the congruent legs of JLK is \sqrt{18}

Igoryamba3 years ago
5 0
The answer is the square root of 18/ 4.242640687
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