Planimetry - math word problems - page 42 of 72
Number of problems found: 1438
- Right-angled triangle
Determine point C so that triangle ABC is right-angled and isosceles with hypotenuse AB, where A[4,-6], B[-2,10] - Triangle middle crossbar
Calculate the length of the middle crossbars in an isosceles triangle if the length of the arm is 52 mm and the base height is 48 mm - Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Triangle height perpendicular
The perpendiculars of a right triangle have 30 cm and 40 cm lengths. What is the height of the triangle? - Rectangle dimension modification
If we reduce the length of the rectangle by 2 cm and the width by 1 cm, its area will decrease by 8 cm². If we increase the length of the rectangle by 1 cm and the width by 2 cm, then its area will increase by 13 cm². What were the original dimensions of - Ladder building height
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall? - Square diagonal angle
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? - Circle length center
Calculate the circle's length and determine the coordinates of the center of the circle when given its diameter XY, X / -3.2 / and Y / -3, -4 /. - Quadrilateral angle sizes
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. - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - Square circle area
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square. - Ladder
How long is a ladder that touches a wall 4 meters high and has a lower part 3 meters away from the wall? - The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle? - 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°. - Triangle point coordinates
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Similar triangle area
The ABC triangle has a circumference of 11 cm. Triangle A'B'C ', similar to triangle ABC, has side lengths of 6 cm, 120 mm, and 1.5 dm larger than triangle ABC. Calculate the area of the triangle A'B'C '. - The triangle - sides
The two sides of the triangle have side lengths a = 6 cm and b = 13 cm. Then the following applies to the length of the third side c: (A) 7 - Triangle angle determination
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - The two
The two angles of a triangle are 78° and 82°. So, what is the measure of the remaining third angle? - Equation of a circle
Write the general equation of a circle with center S(2;5) and point B(5;6) lying on this circle.
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