Question

directions: select the best response.
what is the length of the base of the isosceles triangle shown in the fig
2x + 22
4x - 2
3x + 3
5
32
36
18

Explanation:

Step1: Set the two equal - side expressions equal

Since it's an isosceles triangle, the two non - base sides are equal. So, \(4x - 2=3x + 3\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(4x-3x-2 = 3x-3x + 3\), which gives \(x-2=3\). Then add \(2\) to both sides: \(x=3 + 2=5\).

Step3: Find the length of the base

Substitute \(x = 5\) into the base expression \(2x+22\). So, \(2\times5+22=10 + 22=32\).

Answer:

32