Practice problems of the triangle - page 40 of 117
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2330
- Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle. - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Perimeter 7778
The triangle has 7 cm, 8 cm, and 5 cm long sides. How long is the side of a square with the same perimeter as a triangle? - RT 10
The area of the right triangle is 84 cm², and one of its catheti is a=10 cm. Calculate the perimeter of the triangle ABC.
- Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle. - Periodicity 81597
Simplify by using periodicity cos 1125° - Height UT
How long is the height in the equilateral triangle with a side e = 15? - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Height to the base
The triangle area is 35 cm². The size of the base is 10 cm. Find the length of height to the base.
- Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long. - Count of triangles
On each side of an ABCD square is 10 internal points. Determine the number of triangles with vertices at these points. - Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=32. Calculate the height of the triangle hAB to the side AB. - Calculate 7762
Calculate the size of the diagonal of an ABCD square whose perimeter is 40cm - Height
The area of the triangle is 35 cm². The length of the base is 10 cm. Determine the length of the height on the base.
- Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is: - Base
Compute the base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm. - Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55. - Flowerbed 23051
The flowerbed in the shape of a square has a hedge 27 m long planted on its three sides. Calculate the perimeter of the whole flowerbed - Calculate 10691
Calculate the length of the side of a square whose diagonal has a length of 10 m.
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