In a

In a right triangle, the areas of the squares above its sides are 169; 25 and 144. The length of its longer leg is:

Correct answer:

x =  12

Step-by-step explanation:

c=169=13 a=25=5 b=144=12  c>b>a  x=b=12

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Would you like to compute count of combinations?

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

Related math problems and questions:

  • Squares above sides
    pataVysky Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm2. The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc
  • The sides 2
    trapezium The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid’s area is 245. Find the height and the perimeter of the trapezoid.
  • Sum of squares
    pytagorean The sum of squares above the sides of the rectangular triangle is 900 cm2. Calculate content of square over the triangle's hypotenuse.
  • Square
    namestie_tr_iso Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm2?
  • Perimeter and legs
    RT_triangle Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg and its content area is 24 cm2.
  • The right triangle
    rt_tr540 The right triangle ABC has a leg a = 36 cm and an area S = 540 cm2. Calculate the length of the leg b and the median t2 to side b.
  • Area 4gon
    4gon Calculate the area of 4-gon, two, and the two sides are equal and parallel with lengths 11, 5, 11, and 5. Inner angles are 45°, 135°,45°, 135°.
  • 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.
  • Rectangular field
    rectangle_inside_circle A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field.
  • Rhombus and diagonals
    rhombus-diagonals The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.
  • Leg
    tetris Determine the trapezoid area with bases 71 and 42, and the height is 4 shorter than its leg.
  • RT 11
    right_triangle Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
  • 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.
  • The field
    plavec The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field, circumference if one side of field 25 meters.
  • Cuboid edges
    cuboid_3colors The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m2.
  • Regular n-gon
    10gon_polygon In a regular n-angle polygon the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
  • Right Δ
    ruler A right triangle has the length of one leg 11 cm and the hypotenuse 61 cm size. Calculate the height of the triangle.