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:

GJ² = GH² + HJ²

HJ² = GJ² - GH²

HJ = √(GJ² - GH²)

HJ = √(10² - 25²)

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