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



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a system of equations and looking for calculator system of linear equations?
Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: