Practice problems of the triangle - page 11 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: 2321
- Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle? - Circumference 4420
In an isosceles triangle with a circumference of 36 cm, the height at the base is 12 cm. Calculate the length of the arm of a given triangle. - Angles
The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other interior angles of a triangle. - Two angles 2
Two angles of a triangle have the same measure, and the third one is 45 degrees greater than the measure of the other two. Find the measure of the largest angle in the triangle.
- In the 18
In the right triangle ABC, The hypotenuse AB = 15 cm, and B = 25 degree. How long is BC to the nearest centimeter? - Isosceles triangle
An isosceles triangle has an angle against the base that measures 55°. What is the size of the angle at the base of an isosceles triangle? (Calculation and procedure) - Right triangle
A right triangle ABC is given, and c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent?
- Horizontal distance
The road has a gradient of 8%. How many meters will the road rise on a horizontal distance of 400m? - Double ladder
The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart? - RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs. - Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it. - Euclid1
The right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c?
- Calculate 71764
The angle at the base of an isosceles triangle is 18 ° larger than the angle at the central vertex. Calculate the size of the interior angles. - Height 40911
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - Circumference 20323
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle. - Determine 13541
The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC. - Distance 8471
The double ladder has a height of 3 m. What height will it reach when we spread it at a distance of 1 m?
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