Triangle practice problems - page 79 of 127
Number of problems found: 2521
- Isosceles trapezium
Calculate the area of an isosceles trapezium ABCD if a = 10 cm, b = 5 cm, c = 4 cm. - The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners? - Rhombus
Internal angles of a rhombus are in the ratio 2:5. How many times is the shorter diagonal longer than the side of the rhombus? - Beam log cutting
Is it possible to cut a beam with a square cross-section with a side length of 30 cm from a log with a diameter of 42 cm? Write the answer as follows: yes, because. ... no, because... - Bottle tube
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube? - Largest possible area
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle. - Triangle circle construction
The vertices of the triangle ABC lie on the circle k. The circle k is divided into three parts in a ratio of 1:2:3. Construct this triangle. - The bridge
Across the circle, the lake passes through its center bridge over the lake. At three different locations on the lakeshore are three fishermen, A, B, and C. Which of the fishermen sees the bridge from the largest angle? - Axial section of the cone
The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square. - Paper box
Calculate how much we'll pay for a three-sided shaped prism box with a triangular base, and if it measures 12 cm and 1.6 dm, the hypotenuse measures 200 mm. The box is 34 cm high. We pay 0,13 € per square meter of paper. - Triangle circle length
A right-angled triangle ABC with sides 5 cm and 12 cm is described by circle k. Calculate the length of circle k in centimeters. When calculating, use π = 3, 14 and round the result to tenths. - Garden sidewalk diagonal
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Shape area order
Arrange the given shapes according to their area, in descending order: S - Square with perimeter = 16 cm O - A rectangle with side a = 3 cm and perimeter o = 16 cm T - A right-angled triangle with a hypotenuse of 4.125 cm and a hypotenuse of 8.125 cm - Rectangle and diagonal
In the rectangle ABCD, we know the side length is AB = 16 cm, and the diagonal AC = 20 cm. Calculate its perimeter and area. - Tower roof
The tower's roof is a regular 4-sided pyramid with a height of 4 m and an edge of the base of 6 m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof? - Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 metres long, 2 metres wide, and 1.5 metres high to make it easier for the builders to reach the secon - Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - Circle radius calculation
Point B is the center of the circle. The line AC touches the circles at point C and applies AB = 20 cm and AC = 16 cm. What is the radius of the circle BC? - Ruler and compass
Use a ruler and compass to construct a triangle ABC with AB 5 cm BAC 60° and ACB 45°. - Popcorn bag comparison
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm.
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