Planimetry - math word problems - page 41 of 72
Number of problems found: 1438
- Mast rope anchoring
The mast is 190 m high and is attached to six ropes which are anchored in the ground at a distance of 20 m from the base of the mast. How many meters of rope were needed? - Circle chord distance
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Clock hand distance
How far apart are the tips of the clock's hands in 3 hours if the larger hand is 124 mm long and the smaller 75 mm? - Square area
Find the area of a square with a side length of 4/5 yards. - Triangle congruent sides
The perimeter of triangle MAK is 216 mm, side a = 81 mm, and side k = 62 mm. Determine the side length of the triangle OSA if the triangle MAK is congruent to the triangle OSA. - RT = legs, circle
One leg of a right triangle ABC has length a= 14 cm and the radius of the circle inscribed in this triangle r= 5 cm. Calculate the length of the hypotenuse and its other leg. - Circle rectangle fit
Find out if a circle with an area of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. - Determine
Determine which type of quadrilateral ABCD is and find its perimeter if you know the coordinates of vertices: A/2,4 /, B / -2,1 /, C / -2, -2 /, D/2, -5 /. - Rhombus diagonal perimeter
How do I find the diagonals of a rhombus if its perimeter is 80 dm and one diagonal is 2x larger than the other? - Hypotenuse height segments
We know the height of the hypotenuse h = 4 cm and the hypotenuse c = 19 cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2 - Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - Isosceles triangle perimeter
Two isosceles triangles have the same angle at the vertex opposite the base. The first one has a base of 12 cm and a leg of 9 cm. The other has a 16 cm long base. Calculate the perimeter of the second triangle. - Similarity of triangles
If triangle ABC ~ to triangle XYZ, AC = 24, AB = 15, BC = 17, and XY = 9, what is the perimeter of triangle XYZ? Round all sides to 1 decimal place. - Semicircle
The ornament consists of one square and four dark semicircles. The area of the square is 4 cm². Find the area of one dark semicircle and round the result to hundreds. - Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - The circle
If the radius of a circle is 3+root3, what is the area? - Diagonal 2
What is the area in square metres of a rectangular garden whose diagonal is 50 m long and whose width is 27 m? Round the result to the nearest whole number. - Triangle perpendicular lines
Two altitudes of a triangle are perpendicular to each other and measure 27 cm and 36 cm. Calculate the lengths of the sides of the triangle and the length of the third altitude. - Garden triangle fence
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Triangle perpendicular hypotenuse
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93 cm and the perpendicular t = 48 cm
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