Question

If X - Y -Z AND l(XZ)=3√7,l(XY)=√7 THEN FIND
l(YZ)

Answer 1

Step-by-step explanation:

l(XZ)=l(XY)+l(YZ)

3√7=√7+l(YZ)

l(YZ)=3√7-√7

=√7(3-1)

=√7(2)

l(YZ)=2√7

Answer 2

$l(YZ)=2\sqrt{7}$

Step-by-step explanation:

Given, $l(XZ)=3\sqrt{7}$ and $l(XY)=\sqrt{7}$

Here, we see that

$\quad l(XZ)=l(XY)+l(YZ)$

$\Rightarrow 3\sqrt{7}=\sqrt{7}+l(YZ)$

$\Rightarrow l(YZ)=3\sqrt{7}-\sqrt{7}$

• Here, we have transposed constants to the right hand side and $l(YZ)$ to the left hand side.

$\Rightarrow \boxed{l(YZ)=2\sqrt{7}}$

Note:

• For the given picture, we must understand that $X$, $Y$ and $Z$ are collinear.

• If not collinear, we cannot write: $l(XZ)=l(XY)+l(YZ)$

• However, here, $l$ means $length$.