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Class 8 - (Math )
Geometry - Pythagoras Theorem
If PA is the same height as QB (PA = QB), find the correct arrangement to draw the length of base SA in right triangle PAS.
a :
SA² = 20² + PA²
b :
SA² = 20² - PA²
c :
SA = 20 - PA
d :
SA² = PA² - 20²
Explanation :
In triangle PAS, PS is the hypotenuse.
According to the Pythagorean formula, base² (SA²) = hypotenuse² (PS²) - height² (PA²).
Hence SA² = 20² - PA²
According to the Pythagorean formula, base² (SA²) = hypotenuse² (PS²) - height² (PA²).
Hence SA² = 20² - PA²