Question

IF triangle ABC is isosceles, angle B is the vertex angle, AB = 20x - 2, BC = 12x + 30, and AC = 25x, find x and the length of each side of the triangle.

Answer 1

x=-2.5(ERROR)

Explanation:

An isosceles triangle is a triangle with two sides of equal length, called legs. The third side of the triangle is called the base. The vertex angle is the angle between the legs 1.

Since triangle ABC is an isosceles triangle with vertex angle B, we know that AB = AC.

Therefore, we can set up an equation:

20x - 2 = 25x

Solving for x:

20x - 25x = 2

-5x = 2

x = -2/5

Since x cannot be negative, there must be an error in the problem statement.

I hope this helps!