The sides of a right triangle measure 18 yd, 24 yd, and 30 yd. The two shortest sides of the triangle form its right angle. What is the area of this triangle? A. 72 yd2
B. 216 yd2
C. 270 yd2
D. 360 yd2

216 yd²

this is the right answer

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let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0