Problems of the area of a right triangle

Number of problems found: 395

  • Trapezoid
    The rectangular trapezoid ABCD with right angle at the vertex A has sides a, b, c, d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
  • Circle inscribed
    There is a triangle ABC and a circle inscribed in this triangle with radius 15. The point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26?
  • Touch circle
    Point A has a distance IA, kl = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l
  • Trapezoids
    In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid.
  • Parallelogram diagonals
    Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees.
  • Center of gravity and median
    In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle?
  • Diamond and angles
    Find the area of a diamond with a side of 5 cm if you know that the internal angles in the diamond are 60° and 120°.
  • Isosceles trapezoid
    Find the height in an isosceles trapezoid if the area is 520 cm2 and the base a = 25 cm and c = 14 cm. Calculate the interior angles of the trapezoid.
  • Joanne
    Joanne and Roger are planting a rectangular garden. The garden is 8 1/2 ft by 13 ft. They want to use half of the garden for cucumbers and half of the garden for tomatoes. They decide to separate the garden into two right triangles. What is the area of th
  • School model
    The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3
  • The triangle
    The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle?
  • Right-angled triangle base
    Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm.
  • How to
    How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm.
  • Calculate triangle
    In the triangle ABC, calculate the sizes of all heights, angles, perimeters and its area, if given a-40cm, b-57cm, c-59cm
  • Frustrum - volume, area
    Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm.
  • Regular quadrilateral pyramid
    Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge a applies: V = 2.8 m ^ 3, v = 2.1 m
  • Dodecagon
    Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm.
  • The quadrilateral
    The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right.
  • Divide an isosceles triangle
    How to divide an isosceles triangle into two parts with equal contents perpendicular to the axis of symmetry (into a trapezoid and a triangle)?
  • Equilateral triangle
    Find the area of an equilateral triangle with a side of 15 cm.

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