Question

geometry (h)-2, term1, term2
topic 8: assessment form a
what is ab?
ab =

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle \(ABC\) with \(\angle C = 90^{\circ}\), the Pythagorean theorem states that \(AB^{2}=AC^{2}+BC^{2}\). Given \(AC = 12\) and \(BC = 35\).

Step2: Substitute values

\(AB^{2}=12^{2}+35^{2}=144 + 1225\).

Step3: Calculate \(AB^{2}\)

\(AB^{2}=1369\).

Step4: Find \(AB\)

\(AB=\sqrt{1369}\).

Answer:

\(37\)