Triangle practice problems - page 64 of 125
Number of problems found: 2496
- Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Reverse Pythagorean theorem
Given are the lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 66 dm, 60 dm, 23 dm ... Δ DEF: 20 mm, 15 mm, 25 mm ... Δ GHI: 16 cm, 20 cm, 12 cm ... Δ JKL: 58 cm, 63 cm, 23 cm ... Δ MNO: 115 mm, - Circumference 16933
In the diamond ABCD, the angle BAD is 60°; the length of the diagonal BD is 7 cm. Calculate the circumference of the diamond. - Cuboid
Cuboid ABCDEFGH with 10 cm height has a base edge length 6 cm and 8 cm. Determine the angle between the body diagonal and the base plane (round to degrees). - Determine 69304
Determine the size of the ACF angle in the regular ABCDEF hexagon. - Percentage - rhombus
If the rhombus side in the image increases by half, by what percentage will the area of the rhombus increase? - Goat
The meadow is a circle with a radius r = 20 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? - Equilateral triangle ABC
In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangl - Perpendicular 62844
A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change - Deviation - slope angle
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30° from the base plane. - Crossroads
A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Sphere from tree points
Equation of sphere with three-point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a - Joanne
Joanne and Roger are planting a rectangular garden. The garden is 8 1/2 ft by 13 ft. They want to use half of the garden for cucumbers and half for tomatoes. They decide to separate the garden into two right triangles. What is the area of the tomato part - Rectangle 8017
Calculate the other side of the rectangle if one side and the length of the diagonal are known: a = 3cm u = 5cm b =? - N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon? - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Meridian ground speed
The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground? - Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went? - Parallelogram 65334
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area.
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