Planimetrics - math word problems - page 55 of 184
Number of problems found: 3667
- Main/central vertex
ABC is an isosceles triangle with base BC and central vertex A. The angle at vertex A is 18°. What will be the size of the angle at vertex B? - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²? - Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm. - A kite
ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC, and angle BAD. - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - Trapezoid - sides
Calculate the unknown side and the area of the ABCD trapezoid if you know: side a = 7.5 side b = 3.6 side d = 4.4 height v = 3.4 circumference o = 19 c =? S =? - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - Arm-leg
Calculate the length of the base of an isosceles triangle with a circumference of 224 cm if the arm length is 68 cm. - Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7:5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z. - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Square
If we increase one side of the square by its one-half, then the square perimeter increases by 10 cm. What is the side of the square? - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Length and width
Use the 5-step procedure. The perimeter of a rectangle is 34 in. The length is 4 in less than three times the width. Find the length and width. - Circumference 67334
What is the area and circumference of a diamond whose diagonals are 7 dm, 12dm in length, and 6 dm in height? - Calculate 48613
Calculate the radius of the circle if its diameter is 16.2 cm. Express the result in meters. - Perimeter 45121
The diamond has an area of 36.9 cm² and a side length of 9 cm. a) How many cm does the height of the diamond measure? b) Calculate the perimeter of the diamond. - Determine 12331
An annulus with an area S = 4.2 square meters has an inner radius r = 2.25 m. Determine the outer radius of the annulus. - Trapezoid 5559
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Triangle sides - natural
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have? - Rectangle - diagonal
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters).
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