Finding the measure for each side of an isosceles triangle

The video tutorial explains the properties of an isosceles triangle, focusing on solving for angle measures and side lengths using algebraic equations. The instructor guides students through setting up and solving an equation to find the value of X, then uses this value to calculate the lengths of the triangle's sides. The lesson concludes with a verification of the calculations to ensure understanding.

What is the defining characteristic of an isosceles triangle?

• All three sides are equal.

• Two sides are equal in measure.

• It has a right angle.

• It has no equal sides.

What equation is set up to find the measure of angles in the isosceles triangle?

• 3X - 7 = 2X + 4

• X + 4 = 2X - 7

• 3X - 4 = 2X + 7

• 3X + 4 = 2X - 7

After solving the equation, what is the value of X?

• 29

• 7

• 11

• 4

What is the length of side MN after calculating with X = 11?

• 17

• 22

• 29

• 33

Why is it important to verify the calculated side lengths?

• To find the perimeter of the triangle.

• To determine the type of triangle.

• To confirm the calculations are correct.

• To ensure the triangle is equilateral.