Planimetrics - math word problems - page 52 of 183
Number of problems found: 3655
- Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²? - Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse). - Isosceles triangle
Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm. - Fence
The square garden has an area of 537 m². How many meters of netting is necessary to fence it? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - Parallelogram 5685
Calculate the height of the parallelogram, which has an area of 2.31 square meters and a side of 15.4 cm.
- Described 4187
Find the area of the circle that is a) inscribed, b) described 6.32 cm square. - The rectangle
The rectangle has a circumference of 32 m. One side is 2 m longer than the other side. Calculate the side lengths of this rectangle. - Distance 8471
The double ladder has a height of 3 m. What height will it reach when we spread it at a distance of 1 m? - Parallelogram 6288
Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other. - Rectangles: 3540
The dimensions of the left rectangle are 4 cm and (x+1) cm. The right rectangle consists of two rectangles: the upper one with dimensions of 3 cm and x cm and the lower one with an area of 7 cm². We know that the area of the left rectangle is the same as - Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Dimensions of the trapezoid
One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2 - Diamond and diagonals
A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)
- Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles? - Billboard
A rectangular billboard is 2.5 m long with a diagonal of 2.8 m long. Calculate the perimeter and the area of the billboard. - 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? - Circle and hexagon
Calculate the radius of a circle whose circumference is 8.4 cm longer than the inscribed regular hexagon's circumference. - Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c?
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