Question

what is the length of side jk?

Explanation:

Step1: Determine the type of triangle

Since two angles are equal (the base angles of an isosceles triangle), the sides opposite these angles are equal. So \(10x + 3=3x + 24\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(10x-3x + 3=3x-3x + 24\), which simplifies to \(7x+3 = 24\).
Subtract \(3\) from both sides: \(7x+3 - 3=24 - 3\), so \(7x=21\).
Divide both sides by \(7\): \(x=\frac{21}{7}=3\).

Step3: Find the length of \(JK\)

Substitute \(x = 3\) into \(10x + 3\): \(10\times3+3=30 + 3=33\).

Answer:

\(33\)