Square practice problems - page 47 of 153
Number of problems found: 3052
- Car intersection speed
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other? - Right triangle generator
Detective Harry Thomson found on the Internet a generator for the side lengths of right triangles. According to it: a = 2xy, b = x² − y², c = x² + y², where x and y are natural numbers and x > y. Is it a working generator? - Cosine
Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - Monkey spring distance
Two monkeys were sitting on a tree, one at the top and the other 10 cubits from the ground. Both wanted to drink from a spring that was 40 cubits away. One monkey jumped to the spring from the top and flew the same path as the other monkey. How long did t - Triangle ABC v2
The area of the triangle is 12 cm². Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x. - Triangle sides
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51°19', β = 67°38'. - Square grid drawing
Draw a square so that its sides do not lie on the lines of the square grid - Plane II
A plane flew 50 km on a bearing of 63°20' and then flew in the direction of 153°20' for 140 km. Find the distance between the starting point and the ending point. - Square broken line
The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively. Determine the ar - Triangle solving calculation
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m. - Midpoint triangle
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF? - Triangle
Determine whether we can make a triangle with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 119 b = 170 c = 130 - Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb). - Right triangle
The legs of a right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Parabola point equation
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Railway descent permille
Calculate the per mille descent of the railway line in the section of 7.2 km by 21.6 m. - Sin cos tan
In right triangle ABC with a right angle at B, the sides are |AB| = 7 cm, |BC| = 5 cm, and |AC| = 8.6 cm. Find to two decimal places: A. sin C B. cos C C. tan C - Square
Calculate the area of the square shape of the isosceles triangle with the arms 50 m and the base 60 m. How many tiles are used to pave the square if the area of one tile is 25 dm²?
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