Question

amaya is asked to find the side lengths of the triangle shown. what is her error?
for an isosceles triangle, a leg is congruent to a leg is not necessarily congruent to the correct solution found by solving the equation is ( x = ) the length of the top left side is, and the length of the bottom left side is
(type integers or decimals)

Explanation:

Step1: Analyze the properties of an isosceles triangle

In an isosceles triangle, two sides are congruent. Here, the two congruent sides are the legs (the non - base sides). So, for an isosceles triangle, a leg is congruent to another leg. A leg is not necessarily congruent to the base.

Step2: Set up the correct equation

Since the two legs are congruent, we set \(2x=2x - 5\) (wrong) is incorrect. The correct equation is \(2x=6\) (top leg and right - hand leg are congruent). Solving \(2x = 6\) gives \(x = 3\).

Step3: Find the length of the bottom - left side

Substitute \(x = 3\) into \(2x-5\). We get \(2\times3-5=6 - 5=1\)

Answer:

For an isosceles triangle, a leg is congruent to another leg. A leg is not necessarily congruent to the base. The correct solution found by solving the equation \(2x = 6\) (where \(x = 3\)). The length of the top - left side is \(6\), and the length of the bottom - left side is \(1\)