Equation + triangle - practice problems - page 13 of 15
Number of problems found: 289
- Triangle angles
In a triangle, ABC, the interior angle at vertex C is twice the internal angle at point A. The outer angle at point B measured 117 degrees. How big is the external angle at vertex A? - Angles ratio
In an ABC triangle, is true relationship c is less than b, and b is less than a. Internal angles of the triangle are in the ratio 5:4:9. The size of the internal angle beta is: - Internal angles
One internal angle of the triangle JAR is 25 degrees. The difference is the size of the two others is 15°. Identify the size of these angles. - Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7: 5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z.
- Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC. - Medians in triangle
The median of the isosceles triangle has a length of 3 cm. Determine the size of its sides if its perimeter is 16 cm. - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Goat
Meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the Meadow's perimeter to allow the goat to eat half of the Meadow? - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs.
- RT and ratio
A right triangle whose legs are in a ratio 6:12 has a hypotenuse 68 m long. How long are its legs? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm. - Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone?
- Catheti
The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs. - Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD? - Column
The vertical pole high 8 m tall broke, and its toe fell 2.7 m from the bottom of the pole. At what height above the ground does the pole break? - Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist. - Leg and height
Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.
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