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consider triangle ghj. what is the length of line segment hj? 5 units 5…

Question

consider triangle ghj. what is the length of line segment hj? 5 units 5√3 units 10 units 10√3 units

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle \(GHJ\) with \(\angle H = 90^{\circ}\), by the Pythagorean theorem \(GJ^{2}=HJ^{2}+GH^{2}\). Let \(HJ = x\), \(GJ = 10\), \(GH = 5\). Then \(10^{2}=x^{2}+5^{2}\).

Step2: Solve for \(x\)

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Answer:

\(5\sqrt{3}\) units