Ratio + triangle - practice problems - page 2 of 12
Number of problems found: 221
- The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x? - Karim
Karim uses a photocopier to enlarge the triangle PQR diagram by 150%. a) Write the ratio of the length of P' Q' to the length of PQ. b) Is the ratio of the length P 'R' to the length PR equal to the ratio of the length P 'Q' to the length PQ? c) Use your
- Shadow 73354
How long is the shadow of a tree 7.6 m high, and the shadow of a 190 cm high road sign is 3.3 m long? - Calculate 72624
The perimeter of the ABC triangle is 19.6 cm. The following applies to the lengths of its sides: a: c = 1:2, b: c = 5:6. Calculate the lengths of all sides of the triangle ABC. - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - Shadows
At the park, a young woman who is 1.72 meters tall casts a 3.5 meters shadow at a certain hour. What is the height of a tree in the park that, at the same time, casts a 12.3 meters shadow? - Circumference 71304
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4:6:5. Determine the lengths of its sides.
- Isosceles 71154
Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α - Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Length 26
The length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is: - Calculate 68394
The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles. - Perimeter 66414
The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a:b = 2:3 and a:c = 8:7. Determine the lengths of the sides of the triangle.
- Right-angled 66364
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Calculate 64514
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c. - Calculate 64444
The length of the linden shadow is 429 cm. The length of the shadow meter is 78cm. Calculate the height of the linden. - Observatories 64424
Objective C we observe from two artillery observatories, A and B, which are 975 m apart. The size of the BAC angle is 63 °, and the size of ABC is 48 °. Calculate the distance of points A and C.
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