Question

In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, $3y-8=7y-40$

$\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}$

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.