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24. given △abc, find the following: x = select bc = select ac = select

Question

  1. given △abc, find the following: x = select bc = select ac = select

Explanation:

Step1: Identify triangle type

The markings on the triangle show that \(AC = BC\), so \(\triangle ABC\) is isosceles.

Step2: Set up equation

Since \(AC = BC\), we have \(4x=20\).

Step3: Solve for \(x\)

Divide both sides of the equation \(4x = 20\) by 4: \(x=\frac{20}{4}=5\).

Step4: Find \(BC\)

Since \(BC = 20\) (given in the figure).

Step5: Find \(AC\)

Since \(AC = BC\), \(AC = 20\).

Answer:

\(x = 5\)
\(BC=20\)
\(AC = 20\)