If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?
2 answers:
Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units
we know that
The <u><em>intersecting chords theorem</em></u> is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal
so
In this problem
substitute the given values
solve for HJ
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We will multiply the numerator and denominator by
to get rid of the root in the denominator.
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We need to take any x real number different from 8/3 then and simplify the expression.
Let's do it!
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