Triangle practice problems - page 61 of 125
Number of problems found: 2492
- Determine the area
Determine the area of the trapezoid ABCD, in which the following holds: AB= 6cm, Area of triangle ABC= 15 cm2, area of triangle BCD= 20 cm2, AB||CD. - Decagon 5145
Find the area of a regular decagon if its side is 10 cm in size. - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - Isosceles triangle
Find the area of an isosceles triangle whose leg is twice the base, b=1 - Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm. - Square
Calculate the square's perimeter and area with a diagonal length of 30 cm. - Square2
The side of the square is a = 5.6 cm. How long is its diagonal? - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle? - Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Triangle 36091
Decide if the triangle is right (sides 5,11,7, cm) - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - 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 - Perimeter 83259
The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1m² costs €1.5, a 12% loss due to joints and folds is included in the area. - Perpendicular 68194
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin - Triangle 3552
Draw a circle k (S, r = 3cm). Build a triangle ABC so that its vertices lie on the circle k and the length of the sides is (AB) = 2.5 cm (AC) = 4 cm - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Respectively 64404
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. - Catheti
The hypotenuse of a right triangle is 35, and the sum of legs is 49. Calculate the length of its legs. - Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be?
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