Triangle practice problems - page 60 of 125
Number of problems found: 2492
- Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards at 21.6 km/h. How far apart are they after 10 minutes? - Perpendiculars 46081
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long. - An isosceles trapezoid
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area. - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid. - Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm. - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3. - Equilateral 14873
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle. - Two-dimensional 36453
Two of its inhabitants stand at one point in the land of two-dimensional beings. Suddenly, they both start running at the same moment. Resident A runs north at 5m/s, and resident B runs east at 12m/s. Calculate how fast they are moving away from each othe - Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - Ladder and wall
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach? - Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle. - Square
Calculate the area of the square with diagonal 17 cm. - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Triangles 80492
The sum of the lengths of the three segments is 140mm. Name at least 2 triplets of segment lengths from which we can construct a triangle. Construct triangles - Complementary 81152
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Parcel
The parcel is rectangular, a trapezoid with bases of 12 m and 10 m and a height of 8 m. On the parcel was a built object with a footprint of an isosceles triangle, with a side of 4 m and a height of three-quarters of a meter. What is the area of the unbui - Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - Isosceles triangle
The given is an isosceles triangle with a base of 24dm and an arm of 15dm. Calculate the height of the triangle.
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