Mathematics
Grade9
Easy
Question
If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?
- SAS similarity criteria
- SSS similarity criteria
- AA similarity criteria
- Data inadequate
Hint:
In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.
The correct answer is: AA similarity criteria
In ΔABC and ΔGBH,
B= B (common angle)
BGH = BAC (Corresponding angles are equal as GH || AC)
Then by AA similarity criteria, ΔABC ~ ΔGBH
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