Rectangle diagonal

The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm2.

Correct answer:

S =  30 cm2

Step-by-step explanation:

a=5 cm u=13 cm  b=u2a2=13252=12 cm  S=a b2=5 122=30 cm2



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



avatar




Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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

Related math problems and questions:

  • Diagonal to area
    rectangle Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
  • Side and diagonal
    rectangle Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm.
  • Rectangular triangle PQR
    solving-right-triangles In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments of which longer is 25cm long. The second leg PR has a length 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 decimal
  • Rectangular trapezoid
    right-trapezium-figure The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate trapezium area in cm square and calculate how many differs perimeters of the
  • The triangle
    rr_triangle2 The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle?
  • Billboard
    rectangle Rectangular billboard is 2.5 m long with a diagonal 2.8 m long. Calculate the perimeter and the content area of the billboard.
  • Rectangle
    obdelnik The length of the rectangle are in the ratio 5:12 and the circumference is 238 cm. Calculate the length of the diagonal and area of rectangle.
  • Rectangle
    rectangle There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
  • Rhumbline
    kosodélník Find circumference and area of the rhumbline ABCD if the short side AD of which has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm.
  • Rectangle diagonals
    rectangle_diagonals It is given a rectangle with an area of 24 cm2 a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
  • Rectangle 3-4-5
    diagonal_rectangle The sides of the rectangle are in a ratio of 3:4. The length of the rectangle diagonal is 20 cm. Calculate the content of the rectangle.
  • 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
  • Equilateral triangle
    rs_triangle The equilateral triangle has a 23 cm long side. Calculate its content area.
  • Rectangle 35
    rectangles Find the area of a rectangle when the diagonal is equal to 30 cms and the width is double the length.
  • The sides
    rectangles The sides of the rectangle are in a ratio of 3: 5 and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
  • Diamond diagonals
    kosodlznik Find the diamond diagonal's lengths if the area is 156 cm2 and side is 13 cm long.
  • Diamond diagonals
    kosostvorec Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.