Question

Which of the following statements about JK and JL is true?


A. JK is longer than JL
B. JK and JL are the same length
C. JL is longer than JK
JK IS 9 units long

Answer 1

Answer:

jk is longer than jl

Step-by-step explanation:

Answer 2

The distance between J and L is more than J and K hence, the correct option will be (A).

How to find the distance between any two points?

To find the distance between any two points first assign any one point by (1) whose coordinates will be (x₁, y₁) and assign the remaining point with (2) whose coordinates will be (x₂,y₂).

Now, use the below formula to find out the distance

$\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}$

Let's assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign L by (2) whose coordinate (1,-1) work like (x₂,y₂).

Now by the distance formula, the distance JL is

⇒  $\sqrt{(1-2)^2 +(-1-4)^2}$

⇒   $\sqrt{(-1)^2+(-5)^2}$

⇒    $\sqrt{26$ = 2.236

Now again assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign K by (2) whose coordinate (7,-8) work like (x₂,y₂).

Now by the distance formula, the distance JK is

⇒   $\sqrt{(7-2)^2 +(8-4)^2}$

⇒   $\sqrt{(5)^2 +(4)^2}$

⇒$\sqrt{(41)}$ = 6.403

Hence, it's clear that the JK is longer than JL.

For more information about the distance formula

https://brainly.com/question/12441680

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