Ratio + triangle - practice problems - page 11 of 12
Number of problems found: 233
- Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid? - 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. - Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km. - Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them?
- Cone and the ratio
The rotational cone has a height of 43 cm, and the ratio of the base surface to the lateral surface is 5: 7. Calculate the surface of the base and the lateral surface. - 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? - Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees. - Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also
- Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 7:8:7. Determine the size of the angles of the triangle ΔABC. - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m? - Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb? - Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°?
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence? - Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm? - Triangle ABC
Calculate the sides of the triangle ABC with an area of 1995 cm², and if sides are in a ratio a: b: c = 3:6:6 - Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - Logs
The trunk diameter is 52 cm. Is it possible to inscribe a square prism with a side 27 cm?
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
