SOLUTION: A roof truss has a shape of isosceles triangle. its height is 7.5 m and each of the equal sides is 12.5 m. Use Pythagoras theorem to calculate the length of its base x.

Algebra ->  Pythagorean-theorem -> SOLUTION: A roof truss has a shape of isosceles triangle. its height is 7.5 m and each of the equal sides is 12.5 m. Use Pythagoras theorem to calculate the length of its base x.       Log On


   

Question 1189583: A roof truss has a shape of isosceles triangle. its height is 7.5 m and each of the equal sides is 12.5 m. Use Pythagoras theorem to calculate the length of its base x.
Answer by ikleyn(52781) About Me  (Show Source):
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According to Pythagorean theorem, half of the base is the leg of the length


    sqrt%2812.5%5E2+-+7.5%5E2%29 = sqrt%28%2812.5-7.5%29%2A%2812.5%2B7.5%29%29 = sqrt%285%2A20%29 = sqrt%28100%29 = 10 meters.


Hence, the entire base is twice as long, i.e.  2*10 = 20 meters.    ANSWER

Solved.