Triangle practice problems - page 77 of 126
Number of problems found: 2520
- Triangle segment construction
The sum of the lengths of the three segments is 140 mm. Name at least 2 triplets of segment lengths from which we can construct a triangle. Construct triangles - Cost to Cover Prism
Calculate how much we will pay for the paper to cover the box in the shape of a three-sided prism with the base of a right-angled triangle; if the overhangs measure 12 cm and 1.6 decimeters, the hypotenuse measures 200 millimeters, the box is 27 centimete - Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l - Circle line tangent
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T. - Triangle circle area
A right isosceles triangle is inscribed in the circle with r = 8 cm. Find triangle area S. How much percent does the triangle occupy the area of the circle? - Isosceles trapezoid
What is the height of an isosceles trapezoid, the base of which is 11 cm and 8 cm long, and whose legs measure 2.5 cm? - Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32. - Trapezoid angles
Trapezoid with sides a = 10, b = 20, c = 25, d = 15. Calculate all internal angles. - Diamond height angle
What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - Diamond and angles
The interior angles of the rhombus are 60° and 120°. Its side is 5 cm long. Find the area of the rhombus. - Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond. - Rhombus area
Calculate the area and height of the rhombic cover plate to which the following applies: d (BC) = 60 cm, angle BAD = 45 °, angle ADB = 90 °. - Felix
Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl - Tangents
From point R, two tangents are drawn to a circle with a radius of 41 cm. The distance between the two points of tangency is 16 cm. Calculate the distance from point R to the centre of the circle. - Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - Unit circle
In the Cartesian coordinate system, a unit circle is given on which points A and B lie. Point O is the origin with coordinates (0, 0), and point B has coordinates (1, 0). The size of angle BOA is 151°. Determine the x-coordinate of point A. - Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm. - Trapezoid triangle area
In the triangle, ABC, X, and Y are the centers of the sides BC and CA, respectively. The ABXY trapezoid has an area of 12. Calculate the area of triangle ABC.
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