Right triangle + Pythagorean theorem - practice problems - page 3 of 56
Number of problems found: 1113
- The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area. - Windbreak
A tree at the height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? - 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? - 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. - Height 40911
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - 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? - Calculate 2673
In triangle ABC, the height on the c side is 12 cm. Calculate the area of this triangle if a = 15 cm and b = 13 cm. - RT triangle and height
Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm. - Spruce height
How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree? - Medians of isosceles triangle
The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians? - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Distance two imaginary numbs
Find the distance between two complex number: z1=(-8+i) and z2=(-1+i). - Perpendicular 41811
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce. - Calculate 2420
The kite is tied to a string 85 meters long and hovers over a place 60 meters away from us. Calculate how high the dragon hovers. - Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle?
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