4.1 - Solving for Triangle Sides with Algebra

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

If two sides of a triangle are equal, what can be said about the angles opposite those sides?

Back

The angles opposite the equal sides are also equal.

Front

How do you set up an equation to find the value of x in a triangle with given side lengths?

Back

Set the expressions for the equal sides equal to each other and solve for x.

Front

In triangle problems, what does it mean if a triangle is described as equilateral?

Back

It means all sides and angles are equal, allowing for simpler equations when solving for side lengths.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = a + b + c.

Front

How do you find the length of a side in an equilateral triangle if given an expression?

Back

Solve for x using the expressions for the sides, then substitute x back into one of the expressions.

Front

What is the relationship between the angles in an equilateral triangle?

Back

All angles in an equilateral triangle are equal, each measuring 60 degrees.

Front

If a triangle has sides expressed as 3x + 5 and 3x + 5, what can be concluded?

Back

The triangle is isosceles, as two sides are equal.

Front

What is the first step in solving for x in the equation 18x + 1 = 24x - 17?

Back

Rearrange the equation to isolate x on one side.