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BARSIC [14]
3 years ago
13

PLEASE HELP ME/

Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Option C:

Length of BC = 27

Solution:

Given lengths of the sides are:

AB = 2x, DC = x + 17, AD = x + 10, BC = ?

Quadrilateral ABCD is a parallelogram.

In parallelogram, opposite sides are congruent.

AB = DC and BC = AD

<u>Let us first find x:</u>

AB = DC

⇒ 2x = x + 17

⇒ 2x – x = 17

⇒ x = 17

<u>Let us find AD:</u>

⇒ AD = x + 10

⇒       = 17 + 10

⇒ AD = 27

We know that, opposite sides are congruent.

BC = AD

BC = 27

Option C is the correct answer.

Hence length of BC = 27.

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