Triangle practice problems - page 77 of 126
Number of problems found: 2520
- Kites
Boys fly kites on cables 68 metres long. What is the altitude of a kite if the cable makes an angle of 72° with the horizontal? - Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Isosceles triangle
Jan and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent with walls comprising six identical isosceles triangles. Their lower side is 2 m long, and the height to this side measures 2.5 - Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC. - Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden. - Rectangle diagonals
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers. - Last storm - tree
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8 m and a side edge length of 15 m. How many m² of roofing will he have to bu - Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy? - Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 231 cm². - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x? - Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus. - 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 - 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? - A rectangle 2
A rectangle has a diagonal length of 74 cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - TV width
The electronics store offers a TV with a diagonal screen of 33 inches; the screen's height (without borders) is 44 cm. How wide is the TV if the edge on each side of the screen is 1.1 cm? - 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.
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