One leg

One leg of a right triangle is 1 feet 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=q±D2p=2±1964 a1,2=2±144 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!


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:

  • Sides of right angled triangle
    triangle_rt1 One leg is 1 m shorter than the hypotenuse, and the second leg is 2 m shorter than the hypotenuse. Find the lengths of all sides of the right-angled triangle.
  • R triangle
    right_triangle Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.
  • Right triangle eq2
    rt Hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.
  • RT leg and perimeter
    rt Calculate the length of the sides of a right triangle ABC with hypotenuse c when the length of a leg a= 84 and perimeter of the triangle o = 269.
  • Euclid theorems
    euklidova_veta_trojuhelnik_nakres Calculate the sides of a right triangle if leg a = 6 cm, and a section of the hypotenuse, which is located adjacent to the second leg b is 5cm.
  • The sides
    rt_triangle The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.
  • Rectangular triangle
    rt_triangle The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
  • AP RT triangle
    right_triangle The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area?
  • Euclid3
    euclid2 Calculate height and sides of the right triangle, if one leg is a = 81 cm and section of hypotenuse adjacent to the second leg cb = 39 cm.
  • Right triangle eq2
    rt_triangle Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.
  • Right angled triangle
    fun-triangle The hypotenuse of a right triangle is 17 cm long. When we decrease the length of legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs.
  • RT - hypotenuse and altitude
    pravy_trojuholnik Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments?
  • Integer sides
    rt_triangle A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
  • RT perimeter
    rt The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference.
  • Triangle KLM
    klm_triangle In the rectangular triangle KLM, where is hypotenuse m (sketch it!) find the length of the leg k and the height of triangle h if hypotenuse's segments are known mk = 5cm and ml = 15cm
  • Right triangle
    righttriangle Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
  • Triangle - is RT?
    triangle_3_angles Triangle has a circumference of 90 cm. Side b is 1 cm longer than c, and side c is 31 cm longer than side a. Calculate the length of sides and determine whether a triangle is a right triangle.