QUIZ:
Isosceles and Equilateral Triangles
What is the length of side BC of the triangle?
X + 8
2x - 1
Enter your answer in the box.
3x - 3
units​

Respuesta :

Answer:

[tex]BC=24\ units[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

we know that

An isosceles triangle has two equal sides and two equal interior angles

In this problem

Triangle ABC is an isosceles triangle

because

m∠B=m∠C

therefore

AC=AB

substitute the given values

[tex]x+8=2x-1[/tex]

solve for x

[tex]2x-x=8+1\\x=9[/tex]

Find the length of side BC

[tex]BC=3x-3[/tex]

substitute the value of x

[tex]BC=3(9)-3=24\ units[/tex]

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