Planimetrics - math word problems - page 95 of 184
Number of problems found: 3667
- Circumference 82552
The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference?
- Quadrilateral 81544
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles.
- Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides.
- The sum 18
The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°.
- Dimensions 23001
What dimensions can rectangles with an area of 24 cm square have?
- Perimeter 17063
The area of the floor plan is 5400m². What will be the perimeter of the square floor plan?
- Perimeter 6254
Perimeter and area of the rectangle. Diagonal 260m and one side 150m
- Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm.
- Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
- Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle.
- Perpendicular projections
In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter.
- The ladder
The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall?
- Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
- R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm..
- Ninety-one 80354
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf?
- Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2
- Roof
Tiles are stacked in rows on the trapezoidal-shaped roof. At the ridge are 47 tiles, and each subsequent row has one more tile than the previous row. How many tiles are covered the roof if the lowermost row has 69 tiles?
- Euclid3
Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km.
- Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle.
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