Question

PLEASE MATH HELP WILL GIVE BRAINLIEST What is BC? ​ Enter your answer in the box.

Answer 1

4x+1 = 2x+23

4x = 2x+22

2x = 22

x = 22/2 = 11

x = 11

3x-8 = 3(11)-8 = 33-8 = 25

BC=25

Answer 2

Answer:

Value of BC is 25 units.

Step-by-step explanation:

Given: AC = 2x+23 units , AB = 4x+1 units and BC = 3x-8 units.

Isosceles triangle states that a triangle with two congruent sides and congruent base angles.[Congruent means equal]

Since, in the given triangle ABC  $\angle B = \angle C$ i.e, base angles are equal.

By definition of isosceles triangle,

⇒ΔABC is an isosceles triangle

$AB = AC$

4x + 1 = 2x + 23

Subtract 2x from both sides we get;

4x + 1 -2x = 2x + 23 -2x

Simplify:

2x + 1= 23

Subtract 1 from both sides we get;

2x +1 -1 = 23-1

Simplify:

2x = 22

Divide both sides by 2 we get;

x = 11

BC = 3x -8 = 3(11) - 8 = 33 -8 = 25 units

Therefore, the value of side BC is, 25 units.