Triangle practice problems - page 43 of 126
Number of problems found: 2520
- As shown
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE - Three points
Three points, K (-3; 2), L (-1; 4), and M (3, -4), are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write - Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - Triangle height construction
A. Construct ∆ABC such that c = 55 mm, α = 45 °, β = 60 °. B. Draw any acute triangle and construct its heights. - Similar Triangles Angle Sum
Triangles ABC and A'B'C'. They are similar. In triangle ABC, the measures of the two angles are 25 degrees and 65 degrees. Explain why, in triangle A'B'C', the sum of the sizes of the two angles is equal to 90 degrees. - Climb
A road has a gradient of 1:26. What angle of inclination does this correspond to? - PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a and b. Estimate the length of the missing side and compare your estimate with the calculated value. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a = 8.9 m; b = 1 m d) b = 10 cm; c = 20 cm e) b = 2.5 m; c - Triangle height ratio In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC.
- General triangle
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle. - Hypotenuse height segments
We know the height of the hypotenuse h = 4 cm and the hypotenuse c = 19 cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2 - Observation angle
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end and 80 m from the other end? - Triangle land fencing
The land has the shape of an obtuse triangle with sides of 40 m, 30, and 60 m. Determine the minimum mesh length for fencing and the land area in ares. - Flowerbed stone calculation
The gardener filled the flowerbed with crushed stone in the shape of an equilateral triangle with an 8-m-long side. If 25 kg of crumb was consumed per 1 m² of the area, how much crumb was used for the whole flower bed? - Ski lift height
What height difference does the 2.5 km long ski lift overcome when the horizontal distance of the entry and exit station is 1200 meters? - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8 cm, b = 11 cm, c = 12 cm - Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long? - Staircase handrail
Find out if the handrail on a staircase with 20 steps will be longer than 7 m if the step is 32 cm wide and 15 cm high. (1 = Yes, 0 = No) - Steps
How many steps do you save by walking diagonally across a square plot instead of walking along two of its sides, if the full perimeter takes 458 steps? - Sea
How far can you see from the top of a ship's mast that is 9 metres above sea level? (The Earth's radius is 6370 km km.) - Trigonometric functions
In a right triangle, it holds that: tg α= frac(4) 2 Find the values of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20)
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