Practice problems of the triangle - page 14 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
- Euclidean distance
Calculate the Euclidean distance between shops A, B, and C, where: A 45 0.05 B 60 0.05 C 52 0.09 The first figure is the weight in grams of bread, and the second figure is the USD price. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Triangle TBC
TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB? - R triangle
Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg. - Triangle SAA
The triangle has one side long 71 m, and its two internal angles are 60°. Calculate the perimeter and area of the triangle. - Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - Hypotenuse 80461
The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm? - Gamma angle
Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'. - The sum 18
The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°. - Sides in ratio
The sides of the triangle are in a ratio of 2: 6: 5. Find the dimensions of the remaining sides if the longest side is 32 cm. - Main/central vertex
ABC is an isosceles triangle with base BC and central vertex A. The angle at vertex A is 18°. What will be the size of the angle at vertex B? - Difference of legs
In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. - Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse). - Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles? - Double ladder
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach? - The pole
A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole. - Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference. - Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8 - High wall
I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be? - Triangle angles
In a triangle, ABC, the interior angle at vertex C is twice the internal angle at point A. The outer angle at point B measured 117 degrees. How big is the external angle at vertex A?
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