Angle - math word problems - page 37 of 64

Number of problems found: 1279

Rectangle JANO
The rectangle has side lengths | JA | = 16 cm and | AN | = 12 cm. Point S is the center of the JO side, and point T is the center of the JA side. Calculate the perimeter of the pentagon in cm.
Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²?
Elevation angles
Two endpoints distant 240 m are inclined at an angle of 18°15'. The top of the mountain can be seen at elevation angles of 43° and 51° from its. How high is the mountain?
Hexagon in circle
Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle.
Castle windows
Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrilateral in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows?
Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62 cm. Calculate the trapezium area in cm square and calculate how many different perimeters
RT - inscribed circle
In a rectangular triangle with sides lengths> a = 30 cm and b = 12.5 cm, the right angle is at vertex C. Calculate the radius of the inscribed circle.
Z5 – I – 2 MO 2018
Tereza received four identical right-angled triangles with sides of lengths 3 cm, 4 cm, and 5 cm. From these triangles (not necessarily all four) she tried to put together new shapes. She gradually managed to put together quadrilaterals with perimeters of
Quadrilaterals II
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M and divide the dodecago
Perpendicular sides
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ
Clock hands intersection
Calculate exactly when the hour and minute hands on the clock intersect.
Right isosceles triangle
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two equal segments. One segment is 5 cm long. What is the area of the triangle?
Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two unequal segments. One segment is 5 cm long. What is the area of the triangle? Thank you.
The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?
Point construction
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point
Flower perimeter
Peter drew a regular hexagon, the vertices of which lay on a circle 16 cm long. Then, for each vertex of this hexagon, he drew a circle centered on that vertex that ran through its two adjacent vertices. The unit was created as in the picture. Find the ci
Triangle - angles
ABC triangle, alpha = 54 degrees 32 minutes, beta = 79 degrees. What are the sizes of the exterior angles?
Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description.
Clock arc length
Calculate the length of the arc, which will describe the endpoint of a longer hand 10 cm long wall clock after 20 minutes.
MO Z8–I–6 2018
The KLMN trapezium, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.

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