Practice problems of the triangle - page 35 of 117
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2330
- Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - Direction 7999
A (5; -4) B (1; 3) C (-2; 0) D (6; 2) Calculate the direction vector a) a = AB b) b = BC c) c = CD - Right-angled 81989
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8 - Crossbars 80697
Calculate the length of the middle crossbars in an isosceles triangle if the length of the arm is 52mm and the base height is 48mm
- Square
Dan's father has a square of 65.25 milligram square of wire with a diagonal. How will the square be big when one mm weighs 7 mg? - Combi-triangle
Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - Triangle ABC
Calculate the sides of triangle ABC with area 1404 cm², and if a: b: c = 12:7:18 - Right-angled 82471
The lengths a = 7.2 cm and b = 10.4 cm are dropped in the right-angled triangle ABC. Do the math a) lengths of the sections of the hypotenuse b) height on the hypotenuse c - Building 81885
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall?
- Constructed 8161
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128cm². What is the area of the triangle? - Calculate 3208
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51 ° 19 ', β = 67 ° 38'. - RT a-b-x
There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x. Give your answer as an exact surd. - Dog
The dog is tied to a chain, which is mounted in the corner of the yard. Yard has the shape of a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach? - Steps
How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps?
- Right-angled 79894
Mug's handle is in the shape of a right-angled triangle with a hypotenuse of 15.8 cm and a shorter overhang of 5 cm. How tall is a mug? - Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Calculate 65154
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Isosceles 5711
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter? - Perpendicular 5667
The perpendicular projections hung on the diaphragm are 3.1 cm and 6.3 cm long in a right triangle. Calculate the perimeter of this triangle. The result is rounded to the nearest hundredth of an inch.
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