Given an isosceles triangle, find the measure of all of the side lengths

The video tutorial explains how to solve for X in an isosceles triangle problem. It begins by discussing the properties of isosceles triangles, specifically focusing on congruent sides. The instructor sets up an equation based on the given triangle sides and solves for X using inverse operations. Finally, the video demonstrates how to calculate the lengths of the triangle's sides using the solved value of X.

What is a key characteristic of an isosceles triangle?

• All sides are different lengths.

• It has two congruent sides.

• It has one right angle.

• All angles are equal.

What equation is set up to find the value of X in the triangle RST?

• 9X + 2 = 6X + 8

• 9X - 2 = 6X + 8

• 9X - 2 = 6X - 8

• 9X + 2 = 6X - 8

What is the value of X after solving the equation?

• X = 4

• X = 5

• X = 2

• X = 3

What is the length of side RT when X is substituted back into the equation?

• 8

• 7

• 6

• 5

What should be true about the lengths of RS and TS in an isosceles triangle?

• RS is shorter than TS.

• RS is longer than TS.

• RS and TS are perpendicular.

• RS and TS are equal.