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ohaa [14]
2 years ago
14

Triangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude, line segment g j, is drawn fr

om the right angle to the hypotenuse. what is the length of line segment g j? 2 units 4 units 6 units 8 units
Mathematics
2 answers:
xxMikexx [17]2 years ago
7 0

The square of the altitude is equal to the product of the base of the triangles

<h3>Triangular altitude theorem</h3>

The square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units

According to the theorem;

GJ² = HJ*JF

Determine the value of x using the pythagorean theorem

x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}

According to the theorem;

GJ² = HJ*JF

HJ + JF = 16

Since HJ = JF, hence

HJ = JF = 8

Substitute

GJ² = HJ*JF

GJ² = 8 * 8
GJ² = 64

GJ = 8units

Hence the length of line segment GJ is 8units

Learn more on triangular altitude theorem here: brainly.com/question/14357999?source=archive

#SPJ4

taurus [48]2 years ago
5 0

Answer:

8

Step-by-step explanation:

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