Triangle practice problems - page 75 of 126
Number of problems found: 2520
- Embankment
The perpendicular cross-section of the embankment around the lake has the shape of an isosceles trapezoid. Calculate the perpendicular cross-section, where the bank is 4 m high, the upper width is 7 m, and the legs are 10 m long. - Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid. - Spherical cap
What is the surface area of a spherical cap, the base diameter 27 m, and height 2 m? - Isosceles - isosceles
It is given a triangle ABC with sides /AB/ = 3 cm /BC/ = 10 cm, and the angle ABC = 120°. Draw all points X such that the BCX triangle is an isosceles and triangle ABX is an isosceles with the base AB. - Flowerbed Diagonal Steps Saved
The rectangular flowerbed has dimensions of 20 m and 10 m. How many steps will you save if you walk along its diagonal instead of walking along its two sides? Assume a stride length of 60 cm. - Trapezoid Perimeter Pythagorean
The trapezoid ABCD is given (AB || CD, AB perpendicular to AD). Calculate its circumference if | AB | = 20 cm, | CD | = 15 cm, | AD | = 12 cm. Pythagorean theorem - Isosceles Trapezoid Height
In the isosceles trapezoid ABCD, the base length is a = 10 cm, c = 6 cm, and the arm's length is 4 cm. Calculate its height—the result round to tenths. - Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Diamond angles
The diagonals in diamond KLMN are 10 cm and 6 cm long. Determine the angle size that the longer diagonal makes with the side of the diamond. - 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. - Trapezoid angle calculation
In the ABCD trapezoid: | AD | = | CD | = | BC | a | AB | = | AC |. Determine the size of the delta angle. - Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Traffic cones
Forty identical traffic cones with a base diameter d = 3 dm and height v = 6 dm will be painted orange outside (without the base). If we need 50 cm³ of paint to cover 1 m² and 1 liter of paint costs 80 SKK, how many SKK crowns will we pay? - Trapezoid
Right-angled trapezoid ABCD has a right angle at vertex A and sides a, b, c, and d. Calculate its perimeter and area, given a = 25 cm, c = 10 cm, d = 8 cm. - Trapezoid area angle
Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °. - Circumscribed circle ABC
Triangle ABC, with sides a = 15 cm, b = 17.4 cm, and c = 21.6 cm, is circumscribed by a circle. Calculate the area of the segments determined by the sides of the triangle. - Triangle hypotenuse circle
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle. - Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - Triangle circle proof
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri
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