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# Consider triangle GHJ. What is the length of the line segment HJ?

**Solution:**

The triangle above is a right-angled triangle at the vertex point H. Since it is a right-angled triangle the Pythagorean triplet relationship will be applicable. For the above triangle the relationship applicable will be:

GJ^{2} = GH^{2} + HJ^{2}

HJ^{2} = GJ^{2} - GH^{2}

HJ = √(GJ^{2} - GH^{2})

HJ = √(10^{2} - 25^{2})

HJ =√100 - 25

HJ = √75

HJ = 5√3

## Consider triangle GHJ. What is the length of the line segment HJ?

**Summary:**

Considering the triangle GHJ with its dimensions, the length of the line segment HJ = 5√3

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