Triangle practice problems - page 91 of 125
Number of problems found: 2492
- One of
One of the internal angles of the rhombus is 120°, and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus. - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - 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. - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Cross-section 17871
The road embankment has a cross-section of an isosceles trapezoid with bases 16 m and 10 m long and with arms 5 m long. How many cubic meters of soil is in the 400 meters long dam? - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - The sides 2
The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid. - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Perimeter 6254
Perimeter and area of the rectangle. Diagonal 260m and one side 150m - Moon
We see the Moon from the perspective angle 28'. At the time of the full Moon, the Moon's radius is 1740 km. Calculate the mean distance of the Moon from the Earth. - Dimensions 4700
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box. - Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of the surfaced barrel part is 23 dm. The barrel length is 24 dm. Calculate the volume of the barrel. - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm and CD = 4cm. Calculate the length of the AC diagonal. - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - Isosceles trapezoid
Find the height in an isosceles trapezoid if the area is 520 cm² and the base a = 25 cm and c = 14 cm. Calculate the interior angles of the trapezoid. - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf - Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid? - Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Pyramid - angle
Calculate the regular quadrangular pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - Cone and the ratio
The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. Calculate the surface of the base and the lateral surface.
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