Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 252 cm.

Correct result:

S =  2723.9 cm2

Solution:

p=2a+b sin⁡γ/2=b/2a b=2asin⁡γ/2=2asin⁡45∘ p=2a+b=2a+2asin⁡45∘=2a(1+sin⁡45∘)  a=p2⋅(1+sin⁡45∘)=73.809  S=12a2=1273.8092=2723.9 cm2 

Try calculation via our triangle calculator.


Try another example


We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




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

Next similar math problems:

  • Triangle SAS
    triangle_iron Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
  • Isosceles III
    demos The base of the isosceles triangle is 17 cm area 416 cm2. Calculate the perimeter of this triangle.
  • Rhombus
    rhombus Calculate the perimeter and area of ​​a rhombus whose diagonals are 39 cm and 51 cm long.
  • Right isosceles
    right_isosceles_triangle Calculate area of the isosceles right triangle which perimeter is 41 cm.
  • Isosceles triangle
    triangles_8 Calculate area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
  • Isosceles trapezoid
    licho_1 Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
  • Isosceles triangle
    rr_triangle3_1 Calculate the area of an isosceles triangle, the base of which measures 16 cm and the arms 10 cm.
  • Similarity coefficient
    eqlateral_triangles The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of ​​the larger triangle.
  • Described
    desc_circle Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
  • Right isosceles triangle
    euclid_theorem_1 Right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse dividing it into 2 equal segments. The length of one segment is 5 cm. What is the area of the triangle?
  • Square diagonal
    square_d Calculate the length of the square diagonal if the perimeter is 476 cm.
  • ISO trapezoid v2
    lichobeznik bases of Isosceles trapezoid measured 16 cm and 4 cm and its perimeter is 47 cm. What is the are of a trapezoid?
  • Diamond diagonals
    kosostvorec Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
  • Rhombus IV
    image005 Calculate the length of the diagonals of the rhombus, whose lengths are in the ratio 1: 2 and a rhombus side is 35 cm.
  • Isosceles right triangle
    IsoscelesRightTriangle Area of an isosceles right triangle is 18 dm2. Calculate the length of its base.
  • Logs
    gulatina The trunk diameter is 52 cm. Is it possible to inscribe a square prism with side 36 cm?
  • Axial section
    cone2 The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.