Right triangle - examples - page 27
- Diagonal to area
Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
- Coordinate axes
Determine the area of the triangle given by line -7x+7y+63=0 and coordinate axes x and y.
- Right triangle
Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.
- Quadrangular pyramid
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm and volume V = 1000 cm³. Calculate its side a and its surface area.
Ellipse is expressed by equation 9x2 + 25y2 - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the center of the ellipse.
- Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
- Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5 and sqrt 8 (√3, √5 a √8) be a right triangle?
- Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.
Calculate the area and perimeter of a regular nonagon if its radius of inscribed circle is r = 10cm
- Body diagonal
Calculate the length of the body diagonal of the 6cm cube.
- The pond
We can see the pond at an angle 65°37'. Its end points are 155 m and 177 m away from the observer. What is the width of the pond?
- Cone 15
The radius of the base of a right circular cone is 14 inches and it's height 18 inches. What is the slant height?
- Find radius
Find radius of circle using pythagorean theorem where a=9, b=r, c= 6+r
Construct a rhombus ABCD, if the size of the diagonal AC is 6 cm and diagonal BD 8 cm long.
- The pole
The telegraph pole is supported by a 4 m bullet at 3/4 of its height, the end of which is at a distance 2.5 m from the pole post. Calculate the height of the telegraph pole.
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
- Three points 2
The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB and DC is parallel to AB. Calculate the coordinates of D.
Calculate the length of the pendulum that is 2 cm lower in the lowest position than in the highest position. The length of the circular arc to be described when moving is 20cm.
- Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm2. Calculate content of square over the triangle's hypotenuse.
- Body diagonal - cube
Calculate the surface and cube volume with body diagonal 15 cm long.
See also our right triangle calculator.