altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides....
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altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides....
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Answer:
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Explanation:
Let the base of the triangle then altitude of the triangle
Hypotenuse = 13 cm
By Pythagoras theorem
(Hypotenuse) 2 = (Base)2 + (altitude)2
begin mathsize 12px style open parentheses straight x minus 12 close parentheses open parentheses straight x plus 5 close parentheses equals 0
straight x equals 12 space space space or space space space space straight x equals negative 5 end style
Length can not be negative hence we choose x = 12 cm
Altitude = x - 7 = 12 - 7 = 5 cm