One leg

One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle.

Correct answer:

c =  5 ft
a =  4 ft
b =  3 ft

Step-by-step explanation:

c=5=5 ft
a=1+b a2+b2=c2  a2+(a1)2=c2  a2+(a1)2=52 2a22a24=0  p=2;q=2;r=24 D=q24pr=2242(24)=196 D>0  a1,2=2pq±D=42±196 a1,2=42±14 a1,2=0.5±3.5 a1=4 a2=3   Factored form of the equation:  2(a4)(a+3)=0  a=a1=4=4 ft

Our quadratic equation calculator calculates it.

b=a1=41=3 ft

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