Tangent length in a figure
Tangent lengths from the same external point are equal, which helps find unknown lengths in figures.
Practice This ConceptMain explanation
Teacher explanation
In many drawings, one tangent length is given and the other is unknown. The quickest way is to identify that both tangents start from the same outside point. Then you can directly set the lengths equal and solve for the unknown.
Example
If PA and PB are tangents from P and PA = 8 cm, then PB = 8 cm.
Simple analogy
Same start point, equal tangent lengths.
Common confusion
Students sometimes add the tangent lengths instead of setting them equal.
Exam tip
If two tangent segments begin from the same outside point, write them equal before doing anything else.
Answer writing and exam use
1-mark use
Write the exact meaning of tangent length in a figure in one clean line.
2-mark use
Define tangent length in a figure and add one example or condition.
3-mark use
Explain tangent length in a figure, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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