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question 1: mathematics knowledge in the following right triangle, what…

Question

question 1: mathematics knowledge in the following right triangle, what is the length of side ab? a: 3 m b: 5 m c: 7 m d: 12 m

Explanation:

Step1: Identify the Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here, \(AC = 4m\) and \(BC=3m\), and \(AB\) is the hypotenuse.

Step2: Apply the formula

\(AB=\sqrt{AC^{2}+BC^{2}}=\sqrt{4^{2}+3^{2}}=\sqrt{16 + 9}=\sqrt{25}=5m\)

Answer:

B. 5 m