Triangle practice problems - page 61 of 125
Number of problems found: 2492
- OPT
What is the perimeter of a right triangle with the legs 11 cm and 24 cm long?
- Height UT
How long is the height in the equilateral triangle with a side f = 31?
- 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?
- Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walks at the rate of 4 kph on one road, and Jenelyn walks at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa
- 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.
- 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.
- 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
- Triangle 36091
Decide if the triangle is right (sides 5,11,7, cm)
- 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
- Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area.
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