Write three facts about the triangle ABC

No figure has been provided so I'll assume an equilateral triangle as indicated in the figure below. Remember that this type of triangles are those whose sides have the same length. So some facts of ΔABC are:

1. Angles measure the same:

The angles measures the same as:

2. Sides measure the same:

All sides measure the same, so:

3. The height measures:

By Pythagorean Theorem:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)