Question

4.7.8 Question Help Amaya is asked to find the side lengths of the triangle shown. What is her error? Q From the top leg and the base, 2x = 6, sox 3. Substitute x into the expression for the bottom leg's length to get 3(3) - 5 = 4. 6 X Х The correct solution found by solving the For an isosceles triangle, a leg is congruent to the other leg. A leg is not necessarily congruent to the base. equation 2x = 3x - 5 is x = The length of the top left side is and the length of the bottom left side is (Type integers or decimals.)

Answer 1

To finish answering this question, we have to solve the equation:

`2x=3x-5`

Because we have an isosceles triangle (we have two congruent angles). Then, we have:

1. Subtract 2x to both sides of the equation:

`2x-2x=3x-2x-5\Rightarrow0=x-5\Rightarrow x=5`

Therefore, x = 5. The length of the top left side is 2x ---> x = 5 ---> 2 * 5 = 10. Therefore, the top left side is equal to 10 units.

The length of the bottom left side is 3*(5) - 5 = 15 - 5 = 10 (because they are isosceles triangles.