SOLUTION: If the perimeter of a right angled triangle ABC is 120cm and the hypotenuse AC is 50cm, what is the length of side AB, if BC is x cm long? Determine the value of x

Question 919333: If the perimeter of a right angled triangle ABC is 120cm and the hypotenuse AC is 50cm, what is the length of side AB, if BC is x cm long? Determine the value of x
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
using Pythagorean Theorem
AB^2 + BC^2 = AC^2
Question States: P = 120. THEN 120-50 = 70
(70-x)^2 + x^2 = 50^2
4900 - 140x + x^2 + x^2 = 2500
2x^2 - 140x + 2400 = 0
x^2 - 70x + 1200 = 0
(x-40)(x -30) = 0
x is 30,40
Legs are 30cm and 40cm

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